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Finding the Third Proportional to 278,743.50 and 442,975.50

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Solution

The third proportional to 278,743.50 and 442,975.50 is: 703,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,743.50 : 442,975.50 = 442,975.50 : x
  2. Step 2: Convert to fraction form
    278,743.50/442,975.50 = 442,975.50/x
  3. Step 3: Cross multiply
    278,743.50x = 442,975.50 × 442,975.50
  4. Step 4: Simplify right side
    278,743.50x = 196,227,293,600.25
  5. Step 5: Solve for x
    x = 196,227,293,600.25/278,743.50
  6. Step 6: Final answer
    x = 703,970.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.