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Finding the Third Proportional to 397,850 and 865,660

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Solution

The third proportional to 397,850 and 865,660 is: 1,883,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,850 : 865,660 = 865,660 : x
  2. Step 2: Convert to fraction form
    397,850/865,660 = 865,660/x
  3. Step 3: Cross multiply
    397,850x = 865,660 × 865,660
  4. Step 4: Simplify right side
    397,850x = 749,367,235,600
  5. Step 5: Solve for x
    x = 749,367,235,600/397,850
  6. Step 6: Final answer
    x = 1,883,542.13

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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.