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Finding the Third Proportional to 398,277 and 860,159.25

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Solution

The third proportional to 398,277 and 860,159.25 is: 1,857,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,277 : 860,159.25 = 860,159.25 : x
  2. Step 2: Convert to fraction form
    398,277/860,159.25 = 860,159.25/x
  3. Step 3: Cross multiply
    398,277x = 860,159.25 × 860,159.25
  4. Step 4: Simplify right side
    398,277x = 739,873,935,360.56
  5. Step 5: Solve for x
    x = 739,873,935,360.56/398,277
  6. Step 6: Final answer
    x = 1,857,686.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.