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Finding the Third Proportional to 321,885 and 697,527

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Solution

The third proportional to 321,885 and 697,527 is: 1,511,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,885 : 697,527 = 697,527 : x
  2. Step 2: Convert to fraction form
    321,885/697,527 = 697,527/x
  3. Step 3: Cross multiply
    321,885x = 697,527 × 697,527
  4. Step 4: Simplify right side
    321,885x = 486,543,915,729
  5. Step 5: Solve for x
    x = 486,543,915,729/321,885
  6. Step 6: Final answer
    x = 1,511,545.79

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