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Finding the Third Proportional to 322,716 and 700,620

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Solution

The third proportional to 322,716 and 700,620 is: 1,521,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,716 : 700,620 = 700,620 : x
  2. Step 2: Convert to fraction form
    322,716/700,620 = 700,620/x
  3. Step 3: Cross multiply
    322,716x = 700,620 × 700,620
  4. Step 4: Simplify right side
    322,716x = 490,868,384,400
  5. Step 5: Solve for x
    x = 490,868,384,400/322,716
  6. Step 6: Final answer
    x = 1,521,053.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.