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Finding the Third Proportional to 539.13 and 832.38

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Solution

The third proportional to 539.13 and 832.38 is: 1,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.13 : 832.38 = 832.38 : x
  2. Step 2: Convert to fraction form
    539.13/832.38 = 832.38/x
  3. Step 3: Cross multiply
    539.13x = 832.38 × 832.38
  4. Step 4: Simplify right side
    539.13x = 692,848.14
  5. Step 5: Solve for x
    x = 692,848.14/539.13
  6. Step 6: Final answer
    x = 1,285.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.