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Finding the Third Proportional to 197,318 and 431,539

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Solution

The third proportional to 197,318 and 431,539 is: 943,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,318 : 431,539 = 431,539 : x
  2. Step 2: Convert to fraction form
    197,318/431,539 = 431,539/x
  3. Step 3: Cross multiply
    197,318x = 431,539 × 431,539
  4. Step 4: Simplify right side
    197,318x = 186,225,908,521
  5. Step 5: Solve for x
    x = 186,225,908,521/197,318
  6. Step 6: Final answer
    x = 943,785.71

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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.