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Finding the Third Proportional to 207,979.24 and 329,041.83

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Solution

The third proportional to 207,979.24 and 329,041.83 is: 520,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,979.24 : 329,041.83 = 329,041.83 : x
  2. Step 2: Convert to fraction form
    207,979.24/329,041.83 = 329,041.83/x
  3. Step 3: Cross multiply
    207,979.24x = 329,041.83 × 329,041.83
  4. Step 4: Simplify right side
    207,979.24x = 108,268,524,655.84
  5. Step 5: Solve for x
    x = 108,268,524,655.84/207,979.24
  6. Step 6: Final answer
    x = 520,573.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.