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Finding the Third Proportional to 589.13 and 913.13

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Solution

The third proportional to 589.13 and 913.13 is: 1,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 913.13 = 913.13 : x
  2. Step 2: Convert to fraction form
    589.13/913.13 = 913.13/x
  3. Step 3: Cross multiply
    589.13x = 913.13 × 913.13
  4. Step 4: Simplify right side
    589.13x = 833,797.27
  5. Step 5: Solve for x
    x = 833,797.27/589.13
  6. Step 6: Final answer
    x = 1,415.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.