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Finding the Third Proportional to 561.56 and 1,214.06

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Solution

The third proportional to 561.56 and 1,214.06 is: 2,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.56 : 1,214.06 = 1,214.06 : x
  2. Step 2: Convert to fraction form
    561.56/1,214.06 = 1,214.06/x
  3. Step 3: Cross multiply
    561.56x = 1,214.06 × 1,214.06
  4. Step 4: Simplify right side
    561.56x = 1,473,947.75
  5. Step 5: Solve for x
    x = 1,473,947.75/561.56
  6. Step 6: Final answer
    x = 2,624.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.