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Finding the Third Proportional to 597.56 and 951.84

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Solution

The third proportional to 597.56 and 951.84 is: 1,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 951.84 = 951.84 : x
  2. Step 2: Convert to fraction form
    597.56/951.84 = 951.84/x
  3. Step 3: Cross multiply
    597.56x = 951.84 × 951.84
  4. Step 4: Simplify right side
    597.56x = 906,006.52
  5. Step 5: Solve for x
    x = 906,006.52/597.56
  6. Step 6: Final answer
    x = 1,516.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.