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Finding the Third Proportional to 362,978 and 560,775

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Solution

The third proportional to 362,978 and 560,775 is: 866,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,978 : 560,775 = 560,775 : x
  2. Step 2: Convert to fraction form
    362,978/560,775 = 560,775/x
  3. Step 3: Cross multiply
    362,978x = 560,775 × 560,775
  4. Step 4: Simplify right side
    362,978x = 314,468,600,625
  5. Step 5: Solve for x
    x = 314,468,600,625/362,978
  6. Step 6: Final answer
    x = 866,357.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.