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Finding the Third Proportional to 538.63 and 807.19

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Solution

The third proportional to 538.63 and 807.19 is: 1,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.63 : 807.19 = 807.19 : x
  2. Step 2: Convert to fraction form
    538.63/807.19 = 807.19/x
  3. Step 3: Cross multiply
    538.63x = 807.19 × 807.19
  4. Step 4: Simplify right side
    538.63x = 651,551.66
  5. Step 5: Solve for x
    x = 651,551.66/538.63
  6. Step 6: Final answer
    x = 1,209.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.