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Finding the Third Proportional to 217,739 and 466,582

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Solution

The third proportional to 217,739 and 466,582 is: 999,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,739 : 466,582 = 466,582 : x
  2. Step 2: Convert to fraction form
    217,739/466,582 = 466,582/x
  3. Step 3: Cross multiply
    217,739x = 466,582 × 466,582
  4. Step 4: Simplify right side
    217,739x = 217,698,762,724
  5. Step 5: Solve for x
    x = 217,698,762,724/217,739
  6. Step 6: Final answer
    x = 999,815.20

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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.