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Finding the Third Proportional to 573.19 and 1,177.31

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Solution

The third proportional to 573.19 and 1,177.31 is: 2,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 1,177.31 = 1,177.31 : x
  2. Step 2: Convert to fraction form
    573.19/1,177.31 = 1,177.31/x
  3. Step 3: Cross multiply
    573.19x = 1,177.31 × 1,177.31
  4. Step 4: Simplify right side
    573.19x = 1,386,064.72
  5. Step 5: Solve for x
    x = 1,386,064.72/573.19
  6. Step 6: Final answer
    x = 2,418.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.