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Finding the Third Proportional to 468,085.50 and 958,351.50

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Solution

The third proportional to 468,085.50 and 958,351.50 is: 1,962,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,085.50 : 958,351.50 = 958,351.50 : x
  2. Step 2: Convert to fraction form
    468,085.50/958,351.50 = 958,351.50/x
  3. Step 3: Cross multiply
    468,085.50x = 958,351.50 × 958,351.50
  4. Step 4: Simplify right side
    468,085.50x = 918,437,597,552.25
  5. Step 5: Solve for x
    x = 918,437,597,552.25/468,085.50
  6. Step 6: Final answer
    x = 1,962,115.04

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.