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Finding the Third Proportional to 197,046 and 423,657

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Solution

The third proportional to 197,046 and 423,657 is: 910,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,046 : 423,657 = 423,657 : x
  2. Step 2: Convert to fraction form
    197,046/423,657 = 423,657/x
  3. Step 3: Cross multiply
    197,046x = 423,657 × 423,657
  4. Step 4: Simplify right side
    197,046x = 179,485,253,649
  5. Step 5: Solve for x
    x = 179,485,253,649/197,046
  6. Step 6: Final answer
    x = 910,879.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.