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Finding the Third Proportional to 252,231.75 and 497,457

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Solution

The third proportional to 252,231.75 and 497,457 is: 981,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,231.75 : 497,457 = 497,457 : x
  2. Step 2: Convert to fraction form
    252,231.75/497,457 = 497,457/x
  3. Step 3: Cross multiply
    252,231.75x = 497,457 × 497,457
  4. Step 4: Simplify right side
    252,231.75x = 247,463,466,849
  5. Step 5: Solve for x
    x = 247,463,466,849/252,231.75
  6. Step 6: Final answer
    x = 981,095.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.