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Finding the Third Proportional to 267,822 and 414,958.50

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Solution

The third proportional to 267,822 and 414,958.50 is: 642,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,822 : 414,958.50 = 414,958.50 : x
  2. Step 2: Convert to fraction form
    267,822/414,958.50 = 414,958.50/x
  3. Step 3: Cross multiply
    267,822x = 414,958.50 × 414,958.50
  4. Step 4: Simplify right side
    267,822x = 172,190,556,722.25
  5. Step 5: Solve for x
    x = 172,190,556,722.25/267,822
  6. Step 6: Final answer
    x = 642,929.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.