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Finding the Third Proportional to 589.13 and 839.63

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Solution

The third proportional to 589.13 and 839.63 is: 1,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 839.63 = 839.63 : x
  2. Step 2: Convert to fraction form
    589.13/839.63 = 839.63/x
  3. Step 3: Cross multiply
    589.13x = 839.63 × 839.63
  4. Step 4: Simplify right side
    589.13x = 704,970.14
  5. Step 5: Solve for x
    x = 704,970.14/589.13
  6. Step 6: Final answer
    x = 1,196.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.