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Finding the Third Proportional to 519,270,375 and 742,508,404.50

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Solution

The third proportional to 519,270,375 and 742,508,404.50 is: 1,061,718,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,270,375 : 742,508,404.50 = 742,508,404.50 : x
  2. Step 2: Convert to fraction form
    519,270,375/742,508,404.50 = 742,508,404.50/x
  3. Step 3: Cross multiply
    519,270,375x = 742,508,404.50 × 742,508,404.50
  4. Step 4: Simplify right side
    519,270,375x = 551,318,730,753,135,616
  5. Step 5: Solve for x
    x = 551,318,730,753,135,616/519,270,375
  6. Step 6: Final answer
    x = 1,061,718,051.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.