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Finding the Third Proportional to 361,886 and 532,298

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Solution

The third proportional to 361,886 and 532,298 is: 782,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,886 : 532,298 = 532,298 : x
  2. Step 2: Convert to fraction form
    361,886/532,298 = 532,298/x
  3. Step 3: Cross multiply
    361,886x = 532,298 × 532,298
  4. Step 4: Simplify right side
    361,886x = 283,341,160,804
  5. Step 5: Solve for x
    x = 283,341,160,804/361,886
  6. Step 6: Final answer
    x = 782,956.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.