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Finding the Third Proportional to 337,042 and 507,699

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Solution

The third proportional to 337,042 and 507,699 is: 764,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,042 : 507,699 = 507,699 : x
  2. Step 2: Convert to fraction form
    337,042/507,699 = 507,699/x
  3. Step 3: Cross multiply
    337,042x = 507,699 × 507,699
  4. Step 4: Simplify right side
    337,042x = 257,758,274,601
  5. Step 5: Solve for x
    x = 257,758,274,601/337,042
  6. Step 6: Final answer
    x = 764,766.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.