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Finding the Third Proportional to 322,169 and 690,994

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Solution

The third proportional to 322,169 and 690,994 is: 1,482,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,169 : 690,994 = 690,994 : x
  2. Step 2: Convert to fraction form
    322,169/690,994 = 690,994/x
  3. Step 3: Cross multiply
    322,169x = 690,994 × 690,994
  4. Step 4: Simplify right side
    322,169x = 477,472,708,036
  5. Step 5: Solve for x
    x = 477,472,708,036/322,169
  6. Step 6: Final answer
    x = 1,482,056.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.