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Finding the Third Proportional to 219,612 and 474,000

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Solution

The third proportional to 219,612 and 474,000 is: 1,023,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,612 : 474,000 = 474,000 : x
  2. Step 2: Convert to fraction form
    219,612/474,000 = 474,000/x
  3. Step 3: Cross multiply
    219,612x = 474,000 × 474,000
  4. Step 4: Simplify right side
    219,612x = 224,676,000,000
  5. Step 5: Solve for x
    x = 224,676,000,000/219,612
  6. Step 6: Final answer
    x = 1,023,058.85

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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.