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Finding the Third Proportional to 697.55 and 1,466.91

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Solution

The third proportional to 697.55 and 1,466.91 is: 3,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.55 : 1,466.91 = 1,466.91 : x
  2. Step 2: Convert to fraction form
    697.55/1,466.91 = 1,466.91/x
  3. Step 3: Cross multiply
    697.55x = 1,466.91 × 1,466.91
  4. Step 4: Simplify right side
    697.55x = 2,151,813.95
  5. Step 5: Solve for x
    x = 2,151,813.95/697.55
  6. Step 6: Final answer
    x = 3,084.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.