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Finding the Third Proportional to 462.94 and 1,064.53

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Solution

The third proportional to 462.94 and 1,064.53 is: 2,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 1,064.53 = 1,064.53 : x
  2. Step 2: Convert to fraction form
    462.94/1,064.53 = 1,064.53/x
  3. Step 3: Cross multiply
    462.94x = 1,064.53 × 1,064.53
  4. Step 4: Simplify right side
    462.94x = 1,133,226.78
  5. Step 5: Solve for x
    x = 1,133,226.78/462.94
  6. Step 6: Final answer
    x = 2,447.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.