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Finding the Third Proportional to 589.13 and 932.63

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Solution

The third proportional to 589.13 and 932.63 is: 1,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 932.63 = 932.63 : x
  2. Step 2: Convert to fraction form
    589.13/932.63 = 932.63/x
  3. Step 3: Cross multiply
    589.13x = 932.63 × 932.63
  4. Step 4: Simplify right side
    589.13x = 869,789.39
  5. Step 5: Solve for x
    x = 869,789.39/589.13
  6. Step 6: Final answer
    x = 1,476.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.