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Finding the Third Proportional to 217,746 and 466,596

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Solution

The third proportional to 217,746 and 466,596 is: 999,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,746 : 466,596 = 466,596 : x
  2. Step 2: Convert to fraction form
    217,746/466,596 = 466,596/x
  3. Step 3: Cross multiply
    217,746x = 466,596 × 466,596
  4. Step 4: Simplify right side
    217,746x = 217,711,827,216
  5. Step 5: Solve for x
    x = 217,711,827,216/217,746
  6. Step 6: Final answer
    x = 999,843.06

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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.