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Finding the Third Proportional to 462.62 and 977.22

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Solution

The third proportional to 462.62 and 977.22 is: 2,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.62 : 977.22 = 977.22 : x
  2. Step 2: Convert to fraction form
    462.62/977.22 = 977.22/x
  3. Step 3: Cross multiply
    462.62x = 977.22 × 977.22
  4. Step 4: Simplify right side
    462.62x = 954,960.30
  5. Step 5: Solve for x
    x = 954,960.30/462.62
  6. Step 6: Final answer
    x = 2,064.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.