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Finding the Third Proportional to 977.91 and 1,466.86

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Solution

The third proportional to 977.91 and 1,466.86 is: 2,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 1,466.86 = 1,466.86 : x
  2. Step 2: Convert to fraction form
    977.91/1,466.86 = 1,466.86/x
  3. Step 3: Cross multiply
    977.91x = 1,466.86 × 1,466.86
  4. Step 4: Simplify right side
    977.91x = 2,151,676.43
  5. Step 5: Solve for x
    x = 2,151,676.43/977.91
  6. Step 6: Final answer
    x = 2,200.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.