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Finding the Third Proportional to 538.31 and 767.81

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Solution

The third proportional to 538.31 and 767.81 is: 1,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    538.31/767.81 = 767.81/x
  3. Step 3: Cross multiply
    538.31x = 767.81 × 767.81
  4. Step 4: Simplify right side
    538.31x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/538.31
  6. Step 6: Final answer
    x = 1,095.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.