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Finding the Third Proportional to 589.46 and 864.98

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Solution

The third proportional to 589.46 and 864.98 is: 1,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 864.98 = 864.98 : x
  2. Step 2: Convert to fraction form
    589.46/864.98 = 864.98/x
  3. Step 3: Cross multiply
    589.46x = 864.98 × 864.98
  4. Step 4: Simplify right side
    589.46x = 748,182.76
  5. Step 5: Solve for x
    x = 748,182.76/589.46
  6. Step 6: Final answer
    x = 1,269.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.