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Finding the Third Proportional to 363,902 and 535,448

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Solution

The third proportional to 363,902 and 535,448 is: 787,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,902 : 535,448 = 535,448 : x
  2. Step 2: Convert to fraction form
    363,902/535,448 = 535,448/x
  3. Step 3: Cross multiply
    363,902x = 535,448 × 535,448
  4. Step 4: Simplify right side
    363,902x = 286,704,560,704
  5. Step 5: Solve for x
    x = 286,704,560,704/363,902
  6. Step 6: Final answer
    x = 787,862.01

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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.