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Finding the Third Proportional to 204,445 and 477,548

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Solution

The third proportional to 204,445 and 477,548 is: 1,115,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,445 : 477,548 = 477,548 : x
  2. Step 2: Convert to fraction form
    204,445/477,548 = 477,548/x
  3. Step 3: Cross multiply
    204,445x = 477,548 × 477,548
  4. Step 4: Simplify right side
    204,445x = 228,052,092,304
  5. Step 5: Solve for x
    x = 228,052,092,304/204,445
  6. Step 6: Final answer
    x = 1,115,469.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.