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Finding the Third Proportional to 282,556.50 and 396,002.25

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Solution

The third proportional to 282,556.50 and 396,002.25 is: 554,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,556.50 : 396,002.25 = 396,002.25 : x
  2. Step 2: Convert to fraction form
    282,556.50/396,002.25 = 396,002.25/x
  3. Step 3: Cross multiply
    282,556.50x = 396,002.25 × 396,002.25
  4. Step 4: Simplify right side
    282,556.50x = 156,817,782,005.06
  5. Step 5: Solve for x
    x = 156,817,782,005.06/282,556.50
  6. Step 6: Final answer
    x = 554,996.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.