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Finding the Third Proportional to 303,787.13 and 664,760.25

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Solution

The third proportional to 303,787.13 and 664,760.25 is: 1,454,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,787.13 : 664,760.25 = 664,760.25 : x
  2. Step 2: Convert to fraction form
    303,787.13/664,760.25 = 664,760.25/x
  3. Step 3: Cross multiply
    303,787.13x = 664,760.25 × 664,760.25
  4. Step 4: Simplify right side
    303,787.13x = 441,906,189,980.06
  5. Step 5: Solve for x
    x = 441,906,189,980.06/303,787.13
  6. Step 6: Final answer
    x = 1,454,657.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.