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Finding the Third Proportional to 197,046 and 427,020

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Solution

The third proportional to 197,046 and 427,020 is: 925,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,046 : 427,020 = 427,020 : x
  2. Step 2: Convert to fraction form
    197,046/427,020 = 427,020/x
  3. Step 3: Cross multiply
    197,046x = 427,020 × 427,020
  4. Step 4: Simplify right side
    197,046x = 182,346,080,400
  5. Step 5: Solve for x
    x = 182,346,080,400/197,046
  6. Step 6: Final answer
    x = 925,398.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.