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Finding the Third Proportional to 469,035 and 726,723

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Solution

The third proportional to 469,035 and 726,723 is: 1,125,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,035 : 726,723 = 726,723 : x
  2. Step 2: Convert to fraction form
    469,035/726,723 = 726,723/x
  3. Step 3: Cross multiply
    469,035x = 726,723 × 726,723
  4. Step 4: Simplify right side
    469,035x = 528,126,318,729
  5. Step 5: Solve for x
    x = 528,126,318,729/469,035
  6. Step 6: Final answer
    x = 1,125,984.88

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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.