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Finding the Third Proportional to 878,449.50 and 1,193,251.50

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Solution

The third proportional to 878,449.50 and 1,193,251.50 is: 1,620,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,449.50 : 1,193,251.50 = 1,193,251.50 : x
  2. Step 2: Convert to fraction form
    878,449.50/1,193,251.50 = 1,193,251.50/x
  3. Step 3: Cross multiply
    878,449.50x = 1,193,251.50 × 1,193,251.50
  4. Step 4: Simplify right side
    878,449.50x = 1,423,849,142,252.25
  5. Step 5: Solve for x
    x = 1,423,849,142,252.25/878,449.50
  6. Step 6: Final answer
    x = 1,620,866.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.