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Finding the Third Proportional to 544.50 and 586.13

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Solution

The third proportional to 544.50 and 586.13 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.50 : 586.13 = 586.13 : x
  2. Step 2: Convert to fraction form
    544.50/586.13 = 586.13/x
  3. Step 3: Cross multiply
    544.50x = 586.13 × 586.13
  4. Step 4: Simplify right side
    544.50x = 343,542.52
  5. Step 5: Solve for x
    x = 343,542.52/544.50
  6. Step 6: Final answer
    x = 630.93

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.