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Finding the Third Proportional to 571.88 and 1,347.94

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Solution

The third proportional to 571.88 and 1,347.94 is: 3,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.88 : 1,347.94 = 1,347.94 : x
  2. Step 2: Convert to fraction form
    571.88/1,347.94 = 1,347.94/x
  3. Step 3: Cross multiply
    571.88x = 1,347.94 × 1,347.94
  4. Step 4: Simplify right side
    571.88x = 1,816,935.50
  5. Step 5: Solve for x
    x = 1,816,935.50/571.88
  6. Step 6: Final answer
    x = 3,177.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.