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Finding the Third Proportional to 465,444 and 723,676

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Solution

The third proportional to 465,444 and 723,676 is: 1,125,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,444 : 723,676 = 723,676 : x
  2. Step 2: Convert to fraction form
    465,444/723,676 = 723,676/x
  3. Step 3: Cross multiply
    465,444x = 723,676 × 723,676
  4. Step 4: Simplify right side
    465,444x = 523,706,952,976
  5. Step 5: Solve for x
    x = 523,706,952,976/465,444
  6. Step 6: Final answer
    x = 1,125,177.15

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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.