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Finding the Third Proportional to 399,085 and 864,510

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Solution

The third proportional to 399,085 and 864,510 is: 1,872,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,085 : 864,510 = 864,510 : x
  2. Step 2: Convert to fraction form
    399,085/864,510 = 864,510/x
  3. Step 3: Cross multiply
    399,085x = 864,510 × 864,510
  4. Step 4: Simplify right side
    399,085x = 747,377,540,100
  5. Step 5: Solve for x
    x = 747,377,540,100/399,085
  6. Step 6: Final answer
    x = 1,872,727.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.