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Finding the Third Proportional to 231,721 and 507,730

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Solution

The third proportional to 231,721 and 507,730 is: 1,112,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,721 : 507,730 = 507,730 : x
  2. Step 2: Convert to fraction form
    231,721/507,730 = 507,730/x
  3. Step 3: Cross multiply
    231,721x = 507,730 × 507,730
  4. Step 4: Simplify right side
    231,721x = 257,789,752,900
  5. Step 5: Solve for x
    x = 257,789,752,900/231,721
  6. Step 6: Final answer
    x = 1,112,500.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.