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Finding the Third Proportional to 191,504 and 411,438

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Solution

The third proportional to 191,504 and 411,438 is: 883,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,504 : 411,438 = 411,438 : x
  2. Step 2: Convert to fraction form
    191,504/411,438 = 411,438/x
  3. Step 3: Cross multiply
    191,504x = 411,438 × 411,438
  4. Step 4: Simplify right side
    191,504x = 169,281,227,844
  5. Step 5: Solve for x
    x = 169,281,227,844/191,504
  6. Step 6: Final answer
    x = 883,956.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.