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Finding the Third Proportional to 262,539 and 572,590.50

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Solution

The third proportional to 262,539 and 572,590.50 is: 1,248,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,539 : 572,590.50 = 572,590.50 : x
  2. Step 2: Convert to fraction form
    262,539/572,590.50 = 572,590.50/x
  3. Step 3: Cross multiply
    262,539x = 572,590.50 × 572,590.50
  4. Step 4: Simplify right side
    262,539x = 327,859,880,690.25
  5. Step 5: Solve for x
    x = 327,859,880,690.25/262,539
  6. Step 6: Final answer
    x = 1,248,804.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.