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Finding the Third Proportional to 959.63 and 1,229.06

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Solution

The third proportional to 959.63 and 1,229.06 is: 1,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.63 : 1,229.06 = 1,229.06 : x
  2. Step 2: Convert to fraction form
    959.63/1,229.06 = 1,229.06/x
  3. Step 3: Cross multiply
    959.63x = 1,229.06 × 1,229.06
  4. Step 4: Simplify right side
    959.63x = 1,510,594.63
  5. Step 5: Solve for x
    x = 1,510,594.63/959.63
  6. Step 6: Final answer
    x = 1,574.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.