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Finding the Third Proportional to 593.53 and 951.84

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Solution

The third proportional to 593.53 and 951.84 is: 1,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.53 : 951.84 = 951.84 : x
  2. Step 2: Convert to fraction form
    593.53/951.84 = 951.84/x
  3. Step 3: Cross multiply
    593.53x = 951.84 × 951.84
  4. Step 4: Simplify right side
    593.53x = 906,006.52
  5. Step 5: Solve for x
    x = 906,006.52/593.53
  6. Step 6: Final answer
    x = 1,526.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.