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Finding the Third Proportional to 587,884 and 879,536

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Solution

The third proportional to 587,884 and 879,536 is: 1,315,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,884 : 879,536 = 879,536 : x
  2. Step 2: Convert to fraction form
    587,884/879,536 = 879,536/x
  3. Step 3: Cross multiply
    587,884x = 879,536 × 879,536
  4. Step 4: Simplify right side
    587,884x = 773,583,575,296
  5. Step 5: Solve for x
    x = 773,583,575,296/587,884
  6. Step 6: Final answer
    x = 1,315,877.92

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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.