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Finding the Third Proportional to 866.95 and 1,302.33

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Solution

The third proportional to 866.95 and 1,302.33 is: 1,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.95 : 1,302.33 = 1,302.33 : x
  2. Step 2: Convert to fraction form
    866.95/1,302.33 = 1,302.33/x
  3. Step 3: Cross multiply
    866.95x = 1,302.33 × 1,302.33
  4. Step 4: Simplify right side
    866.95x = 1,696,058.55
  5. Step 5: Solve for x
    x = 1,696,058.55/866.95
  6. Step 6: Final answer
    x = 1,956.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.