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Finding the Third Proportional to 278,584 and 601,500

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Solution

The third proportional to 278,584 and 601,500 is: 1,298,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,584 : 601,500 = 601,500 : x
  2. Step 2: Convert to fraction form
    278,584/601,500 = 601,500/x
  3. Step 3: Cross multiply
    278,584x = 601,500 × 601,500
  4. Step 4: Simplify right side
    278,584x = 361,802,250,000
  5. Step 5: Solve for x
    x = 361,802,250,000/278,584
  6. Step 6: Final answer
    x = 1,298,718.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.