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Finding the Third Proportional to 565,625.25 and 791,199

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Solution

The third proportional to 565,625.25 and 791,199 is: 1,106,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,625.25 : 791,199 = 791,199 : x
  2. Step 2: Convert to fraction form
    565,625.25/791,199 = 791,199/x
  3. Step 3: Cross multiply
    565,625.25x = 791,199 × 791,199
  4. Step 4: Simplify right side
    565,625.25x = 625,995,857,601
  5. Step 5: Solve for x
    x = 625,995,857,601/565,625.25
  6. Step 6: Final answer
    x = 1,106,732.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.