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Finding the Third Proportional to 457,007.06 and 990,285.75

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Solution

The third proportional to 457,007.06 and 990,285.75 is: 2,145,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,007.06 : 990,285.75 = 990,285.75 : x
  2. Step 2: Convert to fraction form
    457,007.06/990,285.75 = 990,285.75/x
  3. Step 3: Cross multiply
    457,007.06x = 990,285.75 × 990,285.75
  4. Step 4: Simplify right side
    457,007.06x = 980,665,866,653.06
  5. Step 5: Solve for x
    x = 980,665,866,653.06/457,007.06
  6. Step 6: Final answer
    x = 2,145,844.01

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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.