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Finding the Third Proportional to 193,449 and 411,808.50

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Solution

The third proportional to 193,449 and 411,808.50 is: 876,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,449 : 411,808.50 = 411,808.50 : x
  2. Step 2: Convert to fraction form
    193,449/411,808.50 = 411,808.50/x
  3. Step 3: Cross multiply
    193,449x = 411,808.50 × 411,808.50
  4. Step 4: Simplify right side
    193,449x = 169,586,240,672.25
  5. Step 5: Solve for x
    x = 169,586,240,672.25/193,449
  6. Step 6: Final answer
    x = 876,645.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.