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Finding the Third Proportional to 402,867 and 877,599

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Solution

The third proportional to 402,867 and 877,599 is: 1,911,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,867 : 877,599 = 877,599 : x
  2. Step 2: Convert to fraction form
    402,867/877,599 = 877,599/x
  3. Step 3: Cross multiply
    402,867x = 877,599 × 877,599
  4. Step 4: Simplify right side
    402,867x = 770,180,004,801
  5. Step 5: Solve for x
    x = 770,180,004,801/402,867
  6. Step 6: Final answer
    x = 1,911,747.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.