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Finding the Third Proportional to 354,567.38 and 532,214.14

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Solution

The third proportional to 354,567.38 and 532,214.14 is: 798,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,567.38 : 532,214.14 = 532,214.14 : x
  2. Step 2: Convert to fraction form
    354,567.38/532,214.14 = 532,214.14/x
  3. Step 3: Cross multiply
    354,567.38x = 532,214.14 × 532,214.14
  4. Step 4: Simplify right side
    354,567.38x = 283,251,889,402.25
  5. Step 5: Solve for x
    x = 283,251,889,402.25/354,567.38
  6. Step 6: Final answer
    x = 798,866.19

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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.