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Finding the Third Proportional to 300,400.31 and 464,982.75

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Solution

The third proportional to 300,400.31 and 464,982.75 is: 719,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,400.31 : 464,982.75 = 464,982.75 : x
  2. Step 2: Convert to fraction form
    300,400.31/464,982.75 = 464,982.75/x
  3. Step 3: Cross multiply
    300,400.31x = 464,982.75 × 464,982.75
  4. Step 4: Simplify right side
    300,400.31x = 216,208,957,797.56
  5. Step 5: Solve for x
    x = 216,208,957,797.56/300,400.31
  6. Step 6: Final answer
    x = 719,736.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.