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Finding the Third Proportional to 417,199.50 and 908,757

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Solution

The third proportional to 417,199.50 and 908,757 is: 1,979,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,199.50 : 908,757 = 908,757 : x
  2. Step 2: Convert to fraction form
    417,199.50/908,757 = 908,757/x
  3. Step 3: Cross multiply
    417,199.50x = 908,757 × 908,757
  4. Step 4: Simplify right side
    417,199.50x = 825,839,285,049
  5. Step 5: Solve for x
    x = 825,839,285,049/417,199.50
  6. Step 6: Final answer
    x = 1,979,482.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.