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Finding the Third Proportional to 220,692 and 472,488

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Solution

The third proportional to 220,692 and 472,488 is: 1,011,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,692 : 472,488 = 472,488 : x
  2. Step 2: Convert to fraction form
    220,692/472,488 = 472,488/x
  3. Step 3: Cross multiply
    220,692x = 472,488 × 472,488
  4. Step 4: Simplify right side
    220,692x = 223,244,910,144
  5. Step 5: Solve for x
    x = 223,244,910,144/220,692
  6. Step 6: Final answer
    x = 1,011,567.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.