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Finding the Third Proportional to 337,522,720.50 and 507,182,735.25

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Solution

The third proportional to 337,522,720.50 and 507,182,735.25 is: 762,124,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,522,720.50 : 507,182,735.25 = 507,182,735.25 : x
  2. Step 2: Convert to fraction form
    337,522,720.50/507,182,735.25 = 507,182,735.25/x
  3. Step 3: Cross multiply
    337,522,720.50x = 507,182,735.25 × 507,182,735.25
  4. Step 4: Simplify right side
    337,522,720.50x = 257,234,326,935,671,584
  5. Step 5: Solve for x
    x = 257,234,326,935,671,584/337,522,720.50
  6. Step 6: Final answer
    x = 762,124,477.29

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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.