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Finding the Third Proportional to 310.71 and 435.55

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Solution

The third proportional to 310.71 and 435.55 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 435.55 = 435.55 : x
  2. Step 2: Convert to fraction form
    310.71/435.55 = 435.55/x
  3. Step 3: Cross multiply
    310.71x = 435.55 × 435.55
  4. Step 4: Simplify right side
    310.71x = 189,704.48
  5. Step 5: Solve for x
    x = 189,704.48/310.71
  6. Step 6: Final answer
    x = 610.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.