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Finding the Third Proportional to 555,012 and 826,374

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Solution

The third proportional to 555,012 and 826,374 is: 1,230,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,012 : 826,374 = 826,374 : x
  2. Step 2: Convert to fraction form
    555,012/826,374 = 826,374/x
  3. Step 3: Cross multiply
    555,012x = 826,374 × 826,374
  4. Step 4: Simplify right side
    555,012x = 682,893,987,876
  5. Step 5: Solve for x
    x = 682,893,987,876/555,012
  6. Step 6: Final answer
    x = 1,230,413.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.