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Finding the Third Proportional to 295,062.75 and 441,318.38

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Solution

The third proportional to 295,062.75 and 441,318.38 is: 660,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,062.75 : 441,318.38 = 441,318.38 : x
  2. Step 2: Convert to fraction form
    295,062.75/441,318.38 = 441,318.38/x
  3. Step 3: Cross multiply
    295,062.75x = 441,318.38 × 441,318.38
  4. Step 4: Simplify right side
    295,062.75x = 194,761,908,112.64
  5. Step 5: Solve for x
    x = 194,761,908,112.64/295,062.75
  6. Step 6: Final answer
    x = 660,069.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.