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Finding the Third Proportional to 614.67 and 986.13

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Solution

The third proportional to 614.67 and 986.13 is: 1,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.67 : 986.13 = 986.13 : x
  2. Step 2: Convert to fraction form
    614.67/986.13 = 986.13/x
  3. Step 3: Cross multiply
    614.67x = 986.13 × 986.13
  4. Step 4: Simplify right side
    614.67x = 972,457.92
  5. Step 5: Solve for x
    x = 972,457.92/614.67
  6. Step 6: Final answer
    x = 1,582.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.