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Finding the Third Proportional to 335,821,590 and 726,650,599.50

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Solution

The third proportional to 335,821,590 and 726,650,599.50 is: 1,572,326,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,821,590 : 726,650,599.50 = 726,650,599.50 : x
  2. Step 2: Convert to fraction form
    335,821,590/726,650,599.50 = 726,650,599.50/x
  3. Step 3: Cross multiply
    335,821,590x = 726,650,599.50 × 726,650,599.50
  4. Step 4: Simplify right side
    335,821,590x = 528,021,093,753,709,376
  5. Step 5: Solve for x
    x = 528,021,093,753,709,376/335,821,590
  6. Step 6: Final answer
    x = 1,572,326,227.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.