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Finding the Third Proportional to 536.91 and 1,177.59

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Solution

The third proportional to 536.91 and 1,177.59 is: 2,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.91 : 1,177.59 = 1,177.59 : x
  2. Step 2: Convert to fraction form
    536.91/1,177.59 = 1,177.59/x
  3. Step 3: Cross multiply
    536.91x = 1,177.59 × 1,177.59
  4. Step 4: Simplify right side
    536.91x = 1,386,727.04
  5. Step 5: Solve for x
    x = 1,386,727.04/536.91
  6. Step 6: Final answer
    x = 2,582.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.