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Finding the Third Proportional to 322,768 and 709,234

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Solution

The third proportional to 322,768 and 709,234 is: 1,558,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,768 : 709,234 = 709,234 : x
  2. Step 2: Convert to fraction form
    322,768/709,234 = 709,234/x
  3. Step 3: Cross multiply
    322,768x = 709,234 × 709,234
  4. Step 4: Simplify right side
    322,768x = 503,012,866,756
  5. Step 5: Solve for x
    x = 503,012,866,756/322,768
  6. Step 6: Final answer
    x = 1,558,434.75

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