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Finding the Third Proportional to 277.88 and 601.03

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Solution

The third proportional to 277.88 and 601.03 is: 1,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 601.03 = 601.03 : x
  2. Step 2: Convert to fraction form
    277.88/601.03 = 601.03/x
  3. Step 3: Cross multiply
    277.88x = 601.03 × 601.03
  4. Step 4: Simplify right side
    277.88x = 361,238.56
  5. Step 5: Solve for x
    x = 361,238.56/277.88
  6. Step 6: Final answer
    x = 1,300.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.