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Finding the Third Proportional to 270,301 and 414,610

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Solution

The third proportional to 270,301 and 414,610 is: 635,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,301 : 414,610 = 414,610 : x
  2. Step 2: Convert to fraction form
    270,301/414,610 = 414,610/x
  3. Step 3: Cross multiply
    270,301x = 414,610 × 414,610
  4. Step 4: Simplify right side
    270,301x = 171,901,452,100
  5. Step 5: Solve for x
    x = 171,901,452,100/270,301
  6. Step 6: Final answer
    x = 635,963.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.