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Finding the Third Proportional to 337,040 and 507,696

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Solution

The third proportional to 337,040 and 507,696 is: 764,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,040 : 507,696 = 507,696 : x
  2. Step 2: Convert to fraction form
    337,040/507,696 = 507,696/x
  3. Step 3: Cross multiply
    337,040x = 507,696 × 507,696
  4. Step 4: Simplify right side
    337,040x = 257,755,228,416
  5. Step 5: Solve for x
    x = 257,755,228,416/337,040
  6. Step 6: Final answer
    x = 764,761.54

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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.