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Finding the Third Proportional to 587,767 and 879,372

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Solution

The third proportional to 587,767 and 879,372 is: 1,315,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,767 : 879,372 = 879,372 : x
  2. Step 2: Convert to fraction form
    587,767/879,372 = 879,372/x
  3. Step 3: Cross multiply
    587,767x = 879,372 × 879,372
  4. Step 4: Simplify right side
    587,767x = 773,295,114,384
  5. Step 5: Solve for x
    x = 773,295,114,384/587,767
  6. Step 6: Final answer
    x = 1,315,649.08

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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.