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Finding the Third Proportional to 614.81 and 716.06

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Solution

The third proportional to 614.81 and 716.06 is: 833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.81 : 716.06 = 716.06 : x
  2. Step 2: Convert to fraction form
    614.81/716.06 = 716.06/x
  3. Step 3: Cross multiply
    614.81x = 716.06 × 716.06
  4. Step 4: Simplify right side
    614.81x = 512,745.50
  5. Step 5: Solve for x
    x = 512,745.50/614.81
  6. Step 6: Final answer
    x = 833.99

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.