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Finding the Third Proportional to 197,564 and 426,717

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Solution

The third proportional to 197,564 and 426,717 is: 921,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,564 : 426,717 = 426,717 : x
  2. Step 2: Convert to fraction form
    197,564/426,717 = 426,717/x
  3. Step 3: Cross multiply
    197,564x = 426,717 × 426,717
  4. Step 4: Simplify right side
    197,564x = 182,087,398,089
  5. Step 5: Solve for x
    x = 182,087,398,089/197,564
  6. Step 6: Final answer
    x = 921,662.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.