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Finding the Third Proportional to 307.76 and 685.76

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Solution

The third proportional to 307.76 and 685.76 is: 1,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 685.76 = 685.76 : x
  2. Step 2: Convert to fraction form
    307.76/685.76 = 685.76/x
  3. Step 3: Cross multiply
    307.76x = 685.76 × 685.76
  4. Step 4: Simplify right side
    307.76x = 470,263.78
  5. Step 5: Solve for x
    x = 470,263.78/307.76
  6. Step 6: Final answer
    x = 1,528.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.