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Finding the Third Proportional to 362.63 and 559.88

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Solution

The third proportional to 362.63 and 559.88 is: 864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 559.88 = 559.88 : x
  2. Step 2: Convert to fraction form
    362.63/559.88 = 559.88/x
  3. Step 3: Cross multiply
    362.63x = 559.88 × 559.88
  4. Step 4: Simplify right side
    362.63x = 313,460.02
  5. Step 5: Solve for x
    x = 313,460.02/362.63
  6. Step 6: Final answer
    x = 864.42

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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.