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Finding the Third Proportional to 661.88 and 1,032.09

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Solution

The third proportional to 661.88 and 1,032.09 is: 1,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 1,032.09 = 1,032.09 : x
  2. Step 2: Convert to fraction form
    661.88/1,032.09 = 1,032.09/x
  3. Step 3: Cross multiply
    661.88x = 1,032.09 × 1,032.09
  4. Step 4: Simplify right side
    661.88x = 1,065,217.51
  5. Step 5: Solve for x
    x = 1,065,217.51/661.88
  6. Step 6: Final answer
    x = 1,609.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.