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Finding the Third Proportional to 724.78 and 776.67

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Solution

The third proportional to 724.78 and 776.67 is: 832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.78 : 776.67 = 776.67 : x
  2. Step 2: Convert to fraction form
    724.78/776.67 = 776.67/x
  3. Step 3: Cross multiply
    724.78x = 776.67 × 776.67
  4. Step 4: Simplify right side
    724.78x = 603,219.20
  5. Step 5: Solve for x
    x = 603,219.20/724.78
  6. Step 6: Final answer
    x = 832.28

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.