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Finding the Third Proportional to 221,526 and 474,552

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Solution

The third proportional to 221,526 and 474,552 is: 1,016,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,526 : 474,552 = 474,552 : x
  2. Step 2: Convert to fraction form
    221,526/474,552 = 474,552/x
  3. Step 3: Cross multiply
    221,526x = 474,552 × 474,552
  4. Step 4: Simplify right side
    221,526x = 225,199,600,704
  5. Step 5: Solve for x
    x = 225,199,600,704/221,526
  6. Step 6: Final answer
    x = 1,016,583.16

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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.