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Finding the Third Proportional to 587,872 and 879,524

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Solution

The third proportional to 587,872 and 879,524 is: 1,315,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,872 : 879,524 = 879,524 : x
  2. Step 2: Convert to fraction form
    587,872/879,524 = 879,524/x
  3. Step 3: Cross multiply
    587,872x = 879,524 × 879,524
  4. Step 4: Simplify right side
    587,872x = 773,562,466,576
  5. Step 5: Solve for x
    x = 773,562,466,576/587,872
  6. Step 6: Final answer
    x = 1,315,868.87

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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.