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Finding the Third Proportional to 597,814 and 888,251

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Solution

The third proportional to 597,814 and 888,251 is: 1,319,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,814 : 888,251 = 888,251 : x
  2. Step 2: Convert to fraction form
    597,814/888,251 = 888,251/x
  3. Step 3: Cross multiply
    597,814x = 888,251 × 888,251
  4. Step 4: Simplify right side
    597,814x = 788,989,839,001
  5. Step 5: Solve for x
    x = 788,989,839,001/597,814
  6. Step 6: Final answer
    x = 1,319,791.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.