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Finding the Third Proportional to 614.06 and 912.56

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Solution

The third proportional to 614.06 and 912.56 is: 1,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.06 : 912.56 = 912.56 : x
  2. Step 2: Convert to fraction form
    614.06/912.56 = 912.56/x
  3. Step 3: Cross multiply
    614.06x = 912.56 × 912.56
  4. Step 4: Simplify right side
    614.06x = 832,770.32
  5. Step 5: Solve for x
    x = 832,770.32/614.06
  6. Step 6: Final answer
    x = 1,356.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.