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Finding the Third Proportional to 635,084 and 864,880

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Solution

The third proportional to 635,084 and 864,880 is: 1,177,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,084 : 864,880 = 864,880 : x
  2. Step 2: Convert to fraction form
    635,084/864,880 = 864,880/x
  3. Step 3: Cross multiply
    635,084x = 864,880 × 864,880
  4. Step 4: Simplify right side
    635,084x = 748,017,414,400
  5. Step 5: Solve for x
    x = 748,017,414,400/635,084
  6. Step 6: Final answer
    x = 1,177,824.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.