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Finding the Third Proportional to 465,561 and 743,846

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Solution

The third proportional to 465,561 and 743,846 is: 1,188,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,561 : 743,846 = 743,846 : x
  2. Step 2: Convert to fraction form
    465,561/743,846 = 743,846/x
  3. Step 3: Cross multiply
    465,561x = 743,846 × 743,846
  4. Step 4: Simplify right side
    465,561x = 553,306,871,716
  5. Step 5: Solve for x
    x = 553,306,871,716/465,561
  6. Step 6: Final answer
    x = 1,188,473.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.