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Finding the Third Proportional to 558,996 and 790,218

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Solution

The third proportional to 558,996 and 790,218 is: 1,117,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,996 : 790,218 = 790,218 : x
  2. Step 2: Convert to fraction form
    558,996/790,218 = 790,218/x
  3. Step 3: Cross multiply
    558,996x = 790,218 × 790,218
  4. Step 4: Simplify right side
    558,996x = 624,444,487,524
  5. Step 5: Solve for x
    x = 624,444,487,524/558,996
  6. Step 6: Final answer
    x = 1,117,082.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.