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Finding the Third Proportional to 664.88 and 1,526.06

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Solution

The third proportional to 664.88 and 1,526.06 is: 3,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 1,526.06 = 1,526.06 : x
  2. Step 2: Convert to fraction form
    664.88/1,526.06 = 1,526.06/x
  3. Step 3: Cross multiply
    664.88x = 1,526.06 × 1,526.06
  4. Step 4: Simplify right side
    664.88x = 2,328,866.75
  5. Step 5: Solve for x
    x = 2,328,866.75/664.88
  6. Step 6: Final answer
    x = 3,502.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.