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Finding the Third Proportional to 270,308 and 414,620

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Solution

The third proportional to 270,308 and 414,620 is: 635,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,308 : 414,620 = 414,620 : x
  2. Step 2: Convert to fraction form
    270,308/414,620 = 414,620/x
  3. Step 3: Cross multiply
    270,308x = 414,620 × 414,620
  4. Step 4: Simplify right side
    270,308x = 171,909,744,400
  5. Step 5: Solve for x
    x = 171,909,744,400/270,308
  6. Step 6: Final answer
    x = 635,977.27

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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.