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Finding the Third Proportional to 220,952 and 474,604

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Solution

The third proportional to 220,952 and 474,604 is: 1,019,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,952 : 474,604 = 474,604 : x
  2. Step 2: Convert to fraction form
    220,952/474,604 = 474,604/x
  3. Step 3: Cross multiply
    220,952x = 474,604 × 474,604
  4. Step 4: Simplify right side
    220,952x = 225,248,956,816
  5. Step 5: Solve for x
    x = 225,248,956,816/220,952
  6. Step 6: Final answer
    x = 1,019,447.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.