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Finding the Third Proportional to 421,258.50 and 913,452.75

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Solution

The third proportional to 421,258.50 and 913,452.75 is: 1,980,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,258.50 : 913,452.75 = 913,452.75 : x
  2. Step 2: Convert to fraction form
    421,258.50/913,452.75 = 913,452.75/x
  3. Step 3: Cross multiply
    421,258.50x = 913,452.75 × 913,452.75
  4. Step 4: Simplify right side
    421,258.50x = 834,395,926,482.56
  5. Step 5: Solve for x
    x = 834,395,926,482.56/421,258.50
  6. Step 6: Final answer
    x = 1,980,721.88

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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.