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Finding the Third Proportional to 298,082 and 465,267

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Solution

The third proportional to 298,082 and 465,267 is: 726,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082 : 465,267 = 465,267 : x
  2. Step 2: Convert to fraction form
    298,082/465,267 = 465,267/x
  3. Step 3: Cross multiply
    298,082x = 465,267 × 465,267
  4. Step 4: Simplify right side
    298,082x = 216,473,381,289
  5. Step 5: Solve for x
    x = 216,473,381,289/298,082
  6. Step 6: Final answer
    x = 726,220.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.