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Finding the Third Proportional to 464.75 and 722.75

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Solution

The third proportional to 464.75 and 722.75 is: 1,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.75 : 722.75 = 722.75 : x
  2. Step 2: Convert to fraction form
    464.75/722.75 = 722.75/x
  3. Step 3: Cross multiply
    464.75x = 722.75 × 722.75
  4. Step 4: Simplify right side
    464.75x = 522,367.56
  5. Step 5: Solve for x
    x = 522,367.56/464.75
  6. Step 6: Final answer
    x = 1,123.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.