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Finding the Third Proportional to 337,522,160 and 507,182,015

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Solution

The third proportional to 337,522,160 and 507,182,015 is: 762,123,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,522,160 : 507,182,015 = 507,182,015 : x
  2. Step 2: Convert to fraction form
    337,522,160/507,182,015 = 507,182,015/x
  3. Step 3: Cross multiply
    337,522,160x = 507,182,015 × 507,182,015
  4. Step 4: Simplify right side
    337,522,160x = 257,233,596,339,460,224
  5. Step 5: Solve for x
    x = 257,233,596,339,460,224/337,522,160
  6. Step 6: Final answer
    x = 762,123,578.31

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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.