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Finding the Third Proportional to 536.97 and 1,177.72

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Solution

The third proportional to 536.97 and 1,177.72 is: 2,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.97 : 1,177.72 = 1,177.72 : x
  2. Step 2: Convert to fraction form
    536.97/1,177.72 = 1,177.72/x
  3. Step 3: Cross multiply
    536.97x = 1,177.72 × 1,177.72
  4. Step 4: Simplify right side
    536.97x = 1,387,021.45
  5. Step 5: Solve for x
    x = 1,387,021.45/536.97
  6. Step 6: Final answer
    x = 2,583.06

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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.