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Finding the Third Proportional to 363,071.25 and 532,942.88

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Solution

The third proportional to 363,071.25 and 532,942.88 is: 782,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,071.25 : 532,942.88 = 532,942.88 : x
  2. Step 2: Convert to fraction form
    363,071.25/532,942.88 = 532,942.88/x
  3. Step 3: Cross multiply
    363,071.25x = 532,942.88 × 532,942.88
  4. Step 4: Simplify right side
    363,071.25x = 284,028,108,013.27
  5. Step 5: Solve for x
    x = 284,028,108,013.27/363,071.25
  6. Step 6: Final answer
    x = 782,293.03

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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.