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Finding the Third Proportional to 587,884 and 879,538

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Solution

The third proportional to 587,884 and 879,538 is: 1,315,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,884 : 879,538 = 879,538 : x
  2. Step 2: Convert to fraction form
    587,884/879,538 = 879,538/x
  3. Step 3: Cross multiply
    587,884x = 879,538 × 879,538
  4. Step 4: Simplify right side
    587,884x = 773,587,093,444
  5. Step 5: Solve for x
    x = 773,587,093,444/587,884
  6. Step 6: Final answer
    x = 1,315,883.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.