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Finding the Third Proportional to 447,621.75 and 915,927.75

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Solution

The third proportional to 447,621.75 and 915,927.75 is: 1,874,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,621.75 : 915,927.75 = 915,927.75 : x
  2. Step 2: Convert to fraction form
    447,621.75/915,927.75 = 915,927.75/x
  3. Step 3: Cross multiply
    447,621.75x = 915,927.75 × 915,927.75
  4. Step 4: Simplify right side
    447,621.75x = 838,923,643,220.06
  5. Step 5: Solve for x
    x = 838,923,643,220.06/447,621.75
  6. Step 6: Final answer
    x = 1,874,179.80

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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.