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Finding the Third Proportional to 337,522,729.50 and 507,182,748.75

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Solution

The third proportional to 337,522,729.50 and 507,182,748.75 is: 762,124,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,522,729.50 : 507,182,748.75 = 507,182,748.75 : x
  2. Step 2: Convert to fraction form
    337,522,729.50/507,182,748.75 = 507,182,748.75/x
  3. Step 3: Cross multiply
    337,522,729.50x = 507,182,748.75 × 507,182,748.75
  4. Step 4: Simplify right side
    337,522,729.50x = 257,234,340,629,605,632
  5. Step 5: Solve for x
    x = 257,234,340,629,605,632/337,522,729.50
  6. Step 6: Final answer
    x = 762,124,497.54

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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.