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Finding the Third Proportional to 541.69 and 619.88

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Solution

The third proportional to 541.69 and 619.88 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.69 : 619.88 = 619.88 : x
  2. Step 2: Convert to fraction form
    541.69/619.88 = 619.88/x
  3. Step 3: Cross multiply
    541.69x = 619.88 × 619.88
  4. Step 4: Simplify right side
    541.69x = 384,245.02
  5. Step 5: Solve for x
    x = 384,245.02/541.69
  6. Step 6: Final answer
    x = 709.35

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.