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Finding the Third Proportional to 197,512 and 437,730

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Solution

The third proportional to 197,512 and 437,730 is: 970,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,512 : 437,730 = 437,730 : x
  2. Step 2: Convert to fraction form
    197,512/437,730 = 437,730/x
  3. Step 3: Cross multiply
    197,512x = 437,730 × 437,730
  4. Step 4: Simplify right side
    197,512x = 191,607,552,900
  5. Step 5: Solve for x
    x = 191,607,552,900/197,512
  6. Step 6: Final answer
    x = 970,105.88

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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.