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Finding the Third Proportional to 551,298 and 884,538

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Solution

The third proportional to 551,298 and 884,538 is: 1,419,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,298 : 884,538 = 884,538 : x
  2. Step 2: Convert to fraction form
    551,298/884,538 = 884,538/x
  3. Step 3: Cross multiply
    551,298x = 884,538 × 884,538
  4. Step 4: Simplify right side
    551,298x = 782,407,473,444
  5. Step 5: Solve for x
    x = 782,407,473,444/551,298
  6. Step 6: Final answer
    x = 1,419,209.71

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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.