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Finding the Third Proportional to 654,624 and 888,480

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Solution

The third proportional to 654,624 and 888,480 is: 1,205,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,624 : 888,480 = 888,480 : x
  2. Step 2: Convert to fraction form
    654,624/888,480 = 888,480/x
  3. Step 3: Cross multiply
    654,624x = 888,480 × 888,480
  4. Step 4: Simplify right side
    654,624x = 789,396,710,400
  5. Step 5: Solve for x
    x = 789,396,710,400/654,624
  6. Step 6: Final answer
    x = 1,205,878.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.