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Finding the Third Proportional to 217,732 and 466,568

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Solution

The third proportional to 217,732 and 466,568 is: 999,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,732 : 466,568 = 466,568 : x
  2. Step 2: Convert to fraction form
    217,732/466,568 = 466,568/x
  3. Step 3: Cross multiply
    217,732x = 466,568 × 466,568
  4. Step 4: Simplify right side
    217,732x = 217,685,698,624
  5. Step 5: Solve for x
    x = 217,685,698,624/217,732
  6. Step 6: Final answer
    x = 999,787.35

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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.