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Finding the Third Proportional to 363,053 and 484,902

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Solution

The third proportional to 363,053 and 484,902 is: 647,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,053 : 484,902 = 484,902 : x
  2. Step 2: Convert to fraction form
    363,053/484,902 = 484,902/x
  3. Step 3: Cross multiply
    363,053x = 484,902 × 484,902
  4. Step 4: Simplify right side
    363,053x = 235,129,949,604
  5. Step 5: Solve for x
    x = 235,129,949,604/363,053
  6. Step 6: Final answer
    x = 647,646.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.