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Finding the Third Proportional to 197,729 and 426,562

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Solution

The third proportional to 197,729 and 426,562 is: 920,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,729 : 426,562 = 426,562 : x
  2. Step 2: Convert to fraction form
    197,729/426,562 = 426,562/x
  3. Step 3: Cross multiply
    197,729x = 426,562 × 426,562
  4. Step 4: Simplify right side
    197,729x = 181,955,139,844
  5. Step 5: Solve for x
    x = 181,955,139,844/197,729
  6. Step 6: Final answer
    x = 920,224.85

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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.