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Finding the Third Proportional to 551,448 and 884,760

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Solution

The third proportional to 551,448 and 884,760 is: 1,419,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,448 : 884,760 = 884,760 : x
  2. Step 2: Convert to fraction form
    551,448/884,760 = 884,760/x
  3. Step 3: Cross multiply
    551,448x = 884,760 × 884,760
  4. Step 4: Simplify right side
    551,448x = 782,800,257,600
  5. Step 5: Solve for x
    x = 782,800,257,600/551,448
  6. Step 6: Final answer
    x = 1,419,535.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.