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Finding the Third Proportional to 571,286 and 839,251

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Solution

The third proportional to 571,286 and 839,251 is: 1,232,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,286 : 839,251 = 839,251 : x
  2. Step 2: Convert to fraction form
    571,286/839,251 = 839,251/x
  3. Step 3: Cross multiply
    571,286x = 839,251 × 839,251
  4. Step 4: Simplify right side
    571,286x = 704,342,241,001
  5. Step 5: Solve for x
    x = 704,342,241,001/571,286
  6. Step 6: Final answer
    x = 1,232,906.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.