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Finding the Third Proportional to 432,746 and 665,571

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Solution

The third proportional to 432,746 and 665,571 is: 1,023,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,746 : 665,571 = 665,571 : x
  2. Step 2: Convert to fraction form
    432,746/665,571 = 665,571/x
  3. Step 3: Cross multiply
    432,746x = 665,571 × 665,571
  4. Step 4: Simplify right side
    432,746x = 442,984,756,041
  5. Step 5: Solve for x
    x = 442,984,756,041/432,746
  6. Step 6: Final answer
    x = 1,023,659.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.