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Finding the Third Proportional to 301,459 and 466,571

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Solution

The third proportional to 301,459 and 466,571 is: 722,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,459 : 466,571 = 466,571 : x
  2. Step 2: Convert to fraction form
    301,459/466,571 = 466,571/x
  3. Step 3: Cross multiply
    301,459x = 466,571 × 466,571
  4. Step 4: Simplify right side
    301,459x = 217,688,498,041
  5. Step 5: Solve for x
    x = 217,688,498,041/301,459
  6. Step 6: Final answer
    x = 722,116.43

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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.