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Finding the Third Proportional to 217,068 and 465,282

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Solution

The third proportional to 217,068 and 465,282 is: 997,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,068 : 465,282 = 465,282 : x
  2. Step 2: Convert to fraction form
    217,068/465,282 = 465,282/x
  3. Step 3: Cross multiply
    217,068x = 465,282 × 465,282
  4. Step 4: Simplify right side
    217,068x = 216,487,339,524
  5. Step 5: Solve for x
    x = 216,487,339,524/217,068
  6. Step 6: Final answer
    x = 997,324.98

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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.