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Finding the Third Proportional to 197,091 and 431,973

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Solution

The third proportional to 197,091 and 431,973 is: 946,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,091 : 431,973 = 431,973 : x
  2. Step 2: Convert to fraction form
    197,091/431,973 = 431,973/x
  3. Step 3: Cross multiply
    197,091x = 431,973 × 431,973
  4. Step 4: Simplify right side
    197,091x = 186,600,672,729
  5. Step 5: Solve for x
    x = 186,600,672,729/197,091
  6. Step 6: Final answer
    x = 946,774.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.