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Finding the Third Proportional to 301,049 and 466,398

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Solution

The third proportional to 301,049 and 466,398 is: 722,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,049 : 466,398 = 466,398 : x
  2. Step 2: Convert to fraction form
    301,049/466,398 = 466,398/x
  3. Step 3: Cross multiply
    301,049x = 466,398 × 466,398
  4. Step 4: Simplify right side
    301,049x = 217,527,094,404
  5. Step 5: Solve for x
    x = 217,527,094,404/301,049
  6. Step 6: Final answer
    x = 722,563.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.