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Finding the Third Proportional to 238,519.69 and 516,390.19

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Solution

The third proportional to 238,519.69 and 516,390.19 is: 1,117,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,519.69 : 516,390.19 = 516,390.19 : x
  2. Step 2: Convert to fraction form
    238,519.69/516,390.19 = 516,390.19/x
  3. Step 3: Cross multiply
    238,519.69x = 516,390.19 × 516,390.19
  4. Step 4: Simplify right side
    238,519.69x = 266,658,825,746.29
  5. Step 5: Solve for x
    x = 266,658,825,746.29/238,519.69
  6. Step 6: Final answer
    x = 1,117,974.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.