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Finding the Third Proportional to 225,787 and 497,650

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Solution

The third proportional to 225,787 and 497,650 is: 1,096,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,787 : 497,650 = 497,650 : x
  2. Step 2: Convert to fraction form
    225,787/497,650 = 497,650/x
  3. Step 3: Cross multiply
    225,787x = 497,650 × 497,650
  4. Step 4: Simplify right side
    225,787x = 247,655,522,500
  5. Step 5: Solve for x
    x = 247,655,522,500/225,787
  6. Step 6: Final answer
    x = 1,096,854.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.