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Finding the Third Proportional to 589.13 and 647.63

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Solution

The third proportional to 589.13 and 647.63 is: 711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 647.63 = 647.63 : x
  2. Step 2: Convert to fraction form
    589.13/647.63 = 647.63/x
  3. Step 3: Cross multiply
    589.13x = 647.63 × 647.63
  4. Step 4: Simplify right side
    589.13x = 419,418.14
  5. Step 5: Solve for x
    x = 419,418.14/589.13
  6. Step 6: Final answer
    x = 711.93

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.