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Finding the Third Proportional to 398,965 and 865,748

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Solution

The third proportional to 398,965 and 865,748 is: 1,878,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,965 : 865,748 = 865,748 : x
  2. Step 2: Convert to fraction form
    398,965/865,748 = 865,748/x
  3. Step 3: Cross multiply
    398,965x = 865,748 × 865,748
  4. Step 4: Simplify right side
    398,965x = 749,519,599,504
  5. Step 5: Solve for x
    x = 749,519,599,504/398,965
  6. Step 6: Final answer
    x = 1,878,660.03

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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.