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Finding the Third Proportional to 221,488 and 474,446

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Solution

The third proportional to 221,488 and 474,446 is: 1,016,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,488 : 474,446 = 474,446 : x
  2. Step 2: Convert to fraction form
    221,488/474,446 = 474,446/x
  3. Step 3: Cross multiply
    221,488x = 474,446 × 474,446
  4. Step 4: Simplify right side
    221,488x = 225,099,006,916
  5. Step 5: Solve for x
    x = 225,099,006,916/221,488
  6. Step 6: Final answer
    x = 1,016,303.40

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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.