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Finding the Third Proportional to 219,622 and 474,020

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Solution

The third proportional to 219,622 and 474,020 is: 1,023,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,622 : 474,020 = 474,020 : x
  2. Step 2: Convert to fraction form
    219,622/474,020 = 474,020/x
  3. Step 3: Cross multiply
    219,622x = 474,020 × 474,020
  4. Step 4: Simplify right side
    219,622x = 224,694,960,400
  5. Step 5: Solve for x
    x = 224,694,960,400/219,622
  6. Step 6: Final answer
    x = 1,023,098.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.