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Finding the Third Proportional to 220,694 and 472,492

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Solution

The third proportional to 220,694 and 472,492 is: 1,011,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,694 : 472,492 = 472,492 : x
  2. Step 2: Convert to fraction form
    220,694/472,492 = 472,492/x
  3. Step 3: Cross multiply
    220,694x = 472,492 × 472,492
  4. Step 4: Simplify right side
    220,694x = 223,248,690,064
  5. Step 5: Solve for x
    x = 223,248,690,064/220,694
  6. Step 6: Final answer
    x = 1,011,575.71

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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.