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Finding the Third Proportional to 678.59 and 1,476.14

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Solution

The third proportional to 678.59 and 1,476.14 is: 3,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.59 : 1,476.14 = 1,476.14 : x
  2. Step 2: Convert to fraction form
    678.59/1,476.14 = 1,476.14/x
  3. Step 3: Cross multiply
    678.59x = 1,476.14 × 1,476.14
  4. Step 4: Simplify right side
    678.59x = 2,178,991.14
  5. Step 5: Solve for x
    x = 2,178,991.14/678.59
  6. Step 6: Final answer
    x = 3,211.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.