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Finding the Third Proportional to 540.42 and 591.05

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Solution

The third proportional to 540.42 and 591.05 is: 646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.42 : 591.05 = 591.05 : x
  2. Step 2: Convert to fraction form
    540.42/591.05 = 591.05/x
  3. Step 3: Cross multiply
    540.42x = 591.05 × 591.05
  4. Step 4: Simplify right side
    540.42x = 349,336.41
  5. Step 5: Solve for x
    x = 349,336.41/540.42
  6. Step 6: Final answer
    x = 646.41

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.