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Finding the Third Proportional to 398,963 and 865,744

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Solution

The third proportional to 398,963 and 865,744 is: 1,878,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,963 : 865,744 = 865,744 : x
  2. Step 2: Convert to fraction form
    398,963/865,744 = 865,744/x
  3. Step 3: Cross multiply
    398,963x = 865,744 × 865,744
  4. Step 4: Simplify right side
    398,963x = 749,512,673,536
  5. Step 5: Solve for x
    x = 749,512,673,536/398,963
  6. Step 6: Final answer
    x = 1,878,652.09

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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.