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Finding the Third Proportional to 391,275 and 595,127.25

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Solution

The third proportional to 391,275 and 595,127.25 is: 905,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,275 : 595,127.25 = 595,127.25 : x
  2. Step 2: Convert to fraction form
    391,275/595,127.25 = 595,127.25/x
  3. Step 3: Cross multiply
    391,275x = 595,127.25 × 595,127.25
  4. Step 4: Simplify right side
    391,275x = 354,176,443,692.56
  5. Step 5: Solve for x
    x = 354,176,443,692.56/391,275
  6. Step 6: Final answer
    x = 905,185.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.