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Finding the Third Proportional to 363,071 and 532,942

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Solution

The third proportional to 363,071 and 532,942 is: 782,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,071 : 532,942 = 532,942 : x
  2. Step 2: Convert to fraction form
    363,071/532,942 = 532,942/x
  3. Step 3: Cross multiply
    363,071x = 532,942 × 532,942
  4. Step 4: Simplify right side
    363,071x = 284,027,175,364
  5. Step 5: Solve for x
    x = 284,027,175,364/363,071
  6. Step 6: Final answer
    x = 782,291.00

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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.