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Finding the Third Proportional to 197,266.64 and 431,446.50

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Solution

The third proportional to 197,266.64 and 431,446.50 is: 943,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,266.64 : 431,446.50 = 431,446.50 : x
  2. Step 2: Convert to fraction form
    197,266.64/431,446.50 = 431,446.50/x
  3. Step 3: Cross multiply
    197,266.64x = 431,446.50 × 431,446.50
  4. Step 4: Simplify right side
    197,266.64x = 186,146,082,362.25
  5. Step 5: Solve for x
    x = 186,146,082,362.25/197,266.64
  6. Step 6: Final answer
    x = 943,626.77

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