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Finding the Third Proportional to 278,146 and 516,562

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Solution

The third proportional to 278,146 and 516,562 is: 959,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,146 : 516,562 = 516,562 : x
  2. Step 2: Convert to fraction form
    278,146/516,562 = 516,562/x
  3. Step 3: Cross multiply
    278,146x = 516,562 × 516,562
  4. Step 4: Simplify right side
    278,146x = 266,836,299,844
  5. Step 5: Solve for x
    x = 266,836,299,844/278,146
  6. Step 6: Final answer
    x = 959,338.98

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.