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Finding the Third Proportional to 279,821.25 and 599,535

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Solution

The third proportional to 279,821.25 and 599,535 is: 1,284,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,821.25 : 599,535 = 599,535 : x
  2. Step 2: Convert to fraction form
    279,821.25/599,535 = 599,535/x
  3. Step 3: Cross multiply
    279,821.25x = 599,535 × 599,535
  4. Step 4: Simplify right side
    279,821.25x = 359,442,216,225
  5. Step 5: Solve for x
    x = 359,442,216,225/279,821.25
  6. Step 6: Final answer
    x = 1,284,542.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.