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Finding the Third Proportional to 539,070,345.50 and 806,450,590.63

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Solution

The third proportional to 539,070,345.50 and 806,450,590.63 is: 1,206,452,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,070,345.50 : 806,450,590.63 = 806,450,590.63 : x
  2. Step 2: Convert to fraction form
    539,070,345.50/806,450,590.63 = 806,450,590.63/x
  3. Step 3: Cross multiply
    539,070,345.50x = 806,450,590.63 × 806,450,590.63
  4. Step 4: Simplify right side
    539,070,345.50x = 650,362,555,119,411,328
  5. Step 5: Solve for x
    x = 650,362,555,119,411,328/539,070,345.50
  6. Step 6: Final answer
    x = 1,206,452,108.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.