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Finding the Third Proportional to 693.56 and 1,476.98

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Solution

The third proportional to 693.56 and 1,476.98 is: 3,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.56 : 1,476.98 = 1,476.98 : x
  2. Step 2: Convert to fraction form
    693.56/1,476.98 = 1,476.98/x
  3. Step 3: Cross multiply
    693.56x = 1,476.98 × 1,476.98
  4. Step 4: Simplify right side
    693.56x = 2,181,482.84
  5. Step 5: Solve for x
    x = 2,181,482.84/693.56
  6. Step 6: Final answer
    x = 3,145.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.