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Finding the Third Proportional to 278,043 and 611,382

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Solution

The third proportional to 278,043 and 611,382 is: 1,344,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,043 : 611,382 = 611,382 : x
  2. Step 2: Convert to fraction form
    278,043/611,382 = 611,382/x
  3. Step 3: Cross multiply
    278,043x = 611,382 × 611,382
  4. Step 4: Simplify right side
    278,043x = 373,787,949,924
  5. Step 5: Solve for x
    x = 373,787,949,924/278,043
  6. Step 6: Final answer
    x = 1,344,353.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.