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Finding the Third Proportional to 191,611 and 415,822

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Solution

The third proportional to 191,611 and 415,822 is: 902,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,611 : 415,822 = 415,822 : x
  2. Step 2: Convert to fraction form
    191,611/415,822 = 415,822/x
  3. Step 3: Cross multiply
    191,611x = 415,822 × 415,822
  4. Step 4: Simplify right side
    191,611x = 172,907,935,684
  5. Step 5: Solve for x
    x = 172,907,935,684/191,611
  6. Step 6: Final answer
    x = 902,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.