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Finding the Third Proportional to 519.56 and 801.06

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Solution

The third proportional to 519.56 and 801.06 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 801.06 = 801.06 : x
  2. Step 2: Convert to fraction form
    519.56/801.06 = 801.06/x
  3. Step 3: Cross multiply
    519.56x = 801.06 × 801.06
  4. Step 4: Simplify right side
    519.56x = 641,701.13
  5. Step 5: Solve for x
    x = 641,701.13/519.56
  6. Step 6: Final answer
    x = 1,235.08

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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.