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Finding the Third Proportional to 312.61 and 662.77

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Solution

The third proportional to 312.61 and 662.77 is: 1,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 662.77 = 662.77 : x
  2. Step 2: Convert to fraction form
    312.61/662.77 = 662.77/x
  3. Step 3: Cross multiply
    312.61x = 662.77 × 662.77
  4. Step 4: Simplify right side
    312.61x = 439,258.27
  5. Step 5: Solve for x
    x = 439,258.27/312.61
  6. Step 6: Final answer
    x = 1,405.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.