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Finding the Third Proportional to 259,713.84 and 393,022.13

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Solution

The third proportional to 259,713.84 and 393,022.13 is: 594,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,713.84 : 393,022.13 = 393,022.13 : x
  2. Step 2: Convert to fraction form
    259,713.84/393,022.13 = 393,022.13/x
  3. Step 3: Cross multiply
    259,713.84x = 393,022.13 × 393,022.13
  4. Step 4: Simplify right side
    259,713.84x = 154,466,390,739.52
  5. Step 5: Solve for x
    x = 154,466,390,739.52/259,713.84
  6. Step 6: Final answer
    x = 594,756.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.