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Finding the Third Proportional to 421,105.50 and 913,150.13

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Solution

The third proportional to 421,105.50 and 913,150.13 is: 1,980,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,105.50 : 913,150.13 = 913,150.13 : x
  2. Step 2: Convert to fraction form
    421,105.50/913,150.13 = 913,150.13/x
  3. Step 3: Cross multiply
    421,105.50x = 913,150.13 × 913,150.13
  4. Step 4: Simplify right side
    421,105.50x = 833,843,150,787.52
  5. Step 5: Solve for x
    x = 833,843,150,787.52/421,105.50
  6. Step 6: Final answer
    x = 1,980,128.85

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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.