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Finding the Third Proportional to 216,747 and 465,452

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Solution

The third proportional to 216,747 and 465,452 is: 999,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,747 : 465,452 = 465,452 : x
  2. Step 2: Convert to fraction form
    216,747/465,452 = 465,452/x
  3. Step 3: Cross multiply
    216,747x = 465,452 × 465,452
  4. Step 4: Simplify right side
    216,747x = 216,645,564,304
  5. Step 5: Solve for x
    x = 216,645,564,304/216,747
  6. Step 6: Final answer
    x = 999,532.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.