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Finding the Third Proportional to 270.06 and 577.06

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Solution

The third proportional to 270.06 and 577.06 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 577.06 = 577.06 : x
  2. Step 2: Convert to fraction form
    270.06/577.06 = 577.06/x
  3. Step 3: Cross multiply
    270.06x = 577.06 × 577.06
  4. Step 4: Simplify right side
    270.06x = 333,001.13
  5. Step 5: Solve for x
    x = 333,001.13/270.06
  6. Step 6: Final answer
    x = 1,233.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.