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Finding the Third Proportional to 363,079 and 532,953

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Solution

The third proportional to 363,079 and 532,953 is: 782,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,079 : 532,953 = 532,953 : x
  2. Step 2: Convert to fraction form
    363,079/532,953 = 532,953/x
  3. Step 3: Cross multiply
    363,079x = 532,953 × 532,953
  4. Step 4: Simplify right side
    363,079x = 284,038,900,209
  5. Step 5: Solve for x
    x = 284,038,900,209/363,079
  6. Step 6: Final answer
    x = 782,306.06

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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.