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Finding the Third Proportional to 220,464 and 477,552

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Solution

The third proportional to 220,464 and 477,552 is: 1,034,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,464 : 477,552 = 477,552 : x
  2. Step 2: Convert to fraction form
    220,464/477,552 = 477,552/x
  3. Step 3: Cross multiply
    220,464x = 477,552 × 477,552
  4. Step 4: Simplify right side
    220,464x = 228,055,912,704
  5. Step 5: Solve for x
    x = 228,055,912,704/220,464
  6. Step 6: Final answer
    x = 1,034,436.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.