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Finding the Third Proportional to 225,649.13 and 491,767.88

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Solution

The third proportional to 225,649.13 and 491,767.88 is: 1,071,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,649.13 : 491,767.88 = 491,767.88 : x
  2. Step 2: Convert to fraction form
    225,649.13/491,767.88 = 491,767.88/x
  3. Step 3: Cross multiply
    225,649.13x = 491,767.88 × 491,767.88
  4. Step 4: Simplify right side
    225,649.13x = 241,835,642,882.02
  5. Step 5: Solve for x
    x = 241,835,642,882.02/225,649.13
  6. Step 6: Final answer
    x = 1,071,733.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.