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Finding the Third Proportional to 469,062 and 726,762

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Solution

The third proportional to 469,062 and 726,762 is: 1,126,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,062 : 726,762 = 726,762 : x
  2. Step 2: Convert to fraction form
    469,062/726,762 = 726,762/x
  3. Step 3: Cross multiply
    469,062x = 726,762 × 726,762
  4. Step 4: Simplify right side
    469,062x = 528,183,004,644
  5. Step 5: Solve for x
    x = 528,183,004,644/469,062
  6. Step 6: Final answer
    x = 1,126,040.92

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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.