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Finding the Third Proportional to 666.56 and 750.09

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Solution

The third proportional to 666.56 and 750.09 is: 844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 750.09 = 750.09 : x
  2. Step 2: Convert to fraction form
    666.56/750.09 = 750.09/x
  3. Step 3: Cross multiply
    666.56x = 750.09 × 750.09
  4. Step 4: Simplify right side
    666.56x = 562,640.63
  5. Step 5: Solve for x
    x = 562,640.63/666.56
  6. Step 6: Final answer
    x = 844.09

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.