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Finding the Third Proportional to 912.38 and 1,470.56

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Solution

The third proportional to 912.38 and 1,470.56 is: 2,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.38 : 1,470.56 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    912.38/1,470.56 = 1,470.56/x
  3. Step 3: Cross multiply
    912.38x = 1,470.56 × 1,470.56
  4. Step 4: Simplify right side
    912.38x = 2,162,554.07
  5. Step 5: Solve for x
    x = 2,162,554.07/912.38
  6. Step 6: Final answer
    x = 2,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.