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Finding the Third Proportional to 577,468 and 888,744

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Solution

The third proportional to 577,468 and 888,744 is: 1,367,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,468 : 888,744 = 888,744 : x
  2. Step 2: Convert to fraction form
    577,468/888,744 = 888,744/x
  3. Step 3: Cross multiply
    577,468x = 888,744 × 888,744
  4. Step 4: Simplify right side
    577,468x = 789,865,897,536
  5. Step 5: Solve for x
    x = 789,865,897,536/577,468
  6. Step 6: Final answer
    x = 1,367,808.95

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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.