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Finding the Third Proportional to 577.41 and 1,229.06

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Solution

The third proportional to 577.41 and 1,229.06 is: 2,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 1,229.06 = 1,229.06 : x
  2. Step 2: Convert to fraction form
    577.41/1,229.06 = 1,229.06/x
  3. Step 3: Cross multiply
    577.41x = 1,229.06 × 1,229.06
  4. Step 4: Simplify right side
    577.41x = 1,510,594.63
  5. Step 5: Solve for x
    x = 1,510,594.63/577.41
  6. Step 6: Final answer
    x = 2,616.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.