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Finding the Third Proportional to 197,510 and 437,727

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Solution

The third proportional to 197,510 and 437,727 is: 970,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,510 : 437,727 = 437,727 : x
  2. Step 2: Convert to fraction form
    197,510/437,727 = 437,727/x
  3. Step 3: Cross multiply
    197,510x = 437,727 × 437,727
  4. Step 4: Simplify right side
    197,510x = 191,604,926,529
  5. Step 5: Solve for x
    x = 191,604,926,529/197,510
  6. Step 6: Final answer
    x = 970,102.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.