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Finding the Third Proportional to 354,575.81 and 532,227.38

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Solution

The third proportional to 354,575.81 and 532,227.38 is: 798,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,575.81 : 532,227.38 = 532,227.38 : x
  2. Step 2: Convert to fraction form
    354,575.81/532,227.38 = 532,227.38/x
  3. Step 3: Cross multiply
    354,575.81x = 532,227.38 × 532,227.38
  4. Step 4: Simplify right side
    354,575.81x = 283,265,978,699.39
  5. Step 5: Solve for x
    x = 283,265,978,699.39/354,575.81
  6. Step 6: Final answer
    x = 798,886.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.