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Finding the Third Proportional to 326,049.05 and 717,127.17

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Solution

The third proportional to 326,049.05 and 717,127.17 is: 1,577,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,049.05 : 717,127.17 = 717,127.17 : x
  2. Step 2: Convert to fraction form
    326,049.05/717,127.17 = 717,127.17/x
  3. Step 3: Cross multiply
    326,049.05x = 717,127.17 × 717,127.17
  4. Step 4: Simplify right side
    326,049.05x = 514,271,380,641.44
  5. Step 5: Solve for x
    x = 514,271,380,641.44/326,049.05
  6. Step 6: Final answer
    x = 1,577,282.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.