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Finding the Third Proportional to 587,583 and 879,147

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Solution

The third proportional to 587,583 and 879,147 is: 1,315,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,583 : 879,147 = 879,147 : x
  2. Step 2: Convert to fraction form
    587,583/879,147 = 879,147/x
  3. Step 3: Cross multiply
    587,583x = 879,147 × 879,147
  4. Step 4: Simplify right side
    587,583x = 772,899,447,609
  5. Step 5: Solve for x
    x = 772,899,447,609/587,583
  6. Step 6: Final answer
    x = 1,315,387.69

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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.