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Finding the Third Proportional to 966.78 and 1,501.90

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Solution

The third proportional to 966.78 and 1,501.90 is: 2,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,501.90 = 1,501.90 : x
  2. Step 2: Convert to fraction form
    966.78/1,501.90 = 1,501.90/x
  3. Step 3: Cross multiply
    966.78x = 1,501.90 × 1,501.90
  4. Step 4: Simplify right side
    966.78x = 2,255,707.72
  5. Step 5: Solve for x
    x = 2,255,707.72/966.78
  6. Step 6: Final answer
    x = 2,333.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.