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Finding the Third Proportional to 279,793.02 and 599,475.78

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Solution

The third proportional to 279,793.02 and 599,475.78 is: 1,284,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,793.02 : 599,475.78 = 599,475.78 : x
  2. Step 2: Convert to fraction form
    279,793.02/599,475.78 = 599,475.78/x
  3. Step 3: Cross multiply
    279,793.02x = 599,475.78 × 599,475.78
  4. Step 4: Simplify right side
    279,793.02x = 359,371,209,963.63
  5. Step 5: Solve for x
    x = 359,371,209,963.63/279,793.02
  6. Step 6: Final answer
    x = 1,284,418.05

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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.