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Finding the Third Proportional to 279,825.19 and 599,573.81

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Solution

The third proportional to 279,825.19 and 599,573.81 is: 1,284,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,825.19 : 599,573.81 = 599,573.81 : x
  2. Step 2: Convert to fraction form
    279,825.19/599,573.81 = 599,573.81/x
  3. Step 3: Cross multiply
    279,825.19x = 599,573.81 × 599,573.81
  4. Step 4: Simplify right side
    279,825.19x = 359,488,756,635.79
  5. Step 5: Solve for x
    x = 359,488,756,635.79/279,825.19
  6. Step 6: Final answer
    x = 1,284,690.49

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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.