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Finding the Third Proportional to 684,687 and 908,716.50

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Solution

The third proportional to 684,687 and 908,716.50 is: 1,206,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,687 : 908,716.50 = 908,716.50 : x
  2. Step 2: Convert to fraction form
    684,687/908,716.50 = 908,716.50/x
  3. Step 3: Cross multiply
    684,687x = 908,716.50 × 908,716.50
  4. Step 4: Simplify right side
    684,687x = 825,765,677,372.25
  5. Step 5: Solve for x
    x = 825,765,677,372.25/684,687
  6. Step 6: Final answer
    x = 1,206,048.42

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.