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Finding the Third Proportional to 337,581 and 507,465

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Solution

The third proportional to 337,581 and 507,465 is: 762,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,581 : 507,465 = 507,465 : x
  2. Step 2: Convert to fraction form
    337,581/507,465 = 507,465/x
  3. Step 3: Cross multiply
    337,581x = 507,465 × 507,465
  4. Step 4: Simplify right side
    337,581x = 257,520,726,225
  5. Step 5: Solve for x
    x = 257,520,726,225/337,581
  6. Step 6: Final answer
    x = 762,841.29

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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.