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Finding the Third Proportional to 325,731 and 672,414

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Solution

The third proportional to 325,731 and 672,414 is: 1,388,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,731 : 672,414 = 672,414 : x
  2. Step 2: Convert to fraction form
    325,731/672,414 = 672,414/x
  3. Step 3: Cross multiply
    325,731x = 672,414 × 672,414
  4. Step 4: Simplify right side
    325,731x = 452,140,587,396
  5. Step 5: Solve for x
    x = 452,140,587,396/325,731
  6. Step 6: Final answer
    x = 1,388,079.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.