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Finding the Third Proportional to 278,022.38 and 599,329.13

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Solution

The third proportional to 278,022.38 and 599,329.13 is: 1,291,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,022.38 : 599,329.13 = 599,329.13 : x
  2. Step 2: Convert to fraction form
    278,022.38/599,329.13 = 599,329.13/x
  3. Step 3: Cross multiply
    278,022.38x = 599,329.13 × 599,329.13
  4. Step 4: Simplify right side
    278,022.38x = 359,195,400,073.27
  5. Step 5: Solve for x
    x = 359,195,400,073.27/278,022.38
  6. Step 6: Final answer
    x = 1,291,965.80

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Why These Related Problems?

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