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Finding the Third Proportional to 596.74 and 801.77

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Solution

The third proportional to 596.74 and 801.77 is: 1,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 801.77 = 801.77 : x
  2. Step 2: Convert to fraction form
    596.74/801.77 = 801.77/x
  3. Step 3: Cross multiply
    596.74x = 801.77 × 801.77
  4. Step 4: Simplify right side
    596.74x = 642,840.65
  5. Step 5: Solve for x
    x = 642,840.65/596.74
  6. Step 6: Final answer
    x = 1,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.