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Finding the Third Proportional to 558,981 and 790,194

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Solution

The third proportional to 558,981 and 790,194 is: 1,117,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,981 : 790,194 = 790,194 : x
  2. Step 2: Convert to fraction form
    558,981/790,194 = 790,194/x
  3. Step 3: Cross multiply
    558,981x = 790,194 × 790,194
  4. Step 4: Simplify right side
    558,981x = 624,406,557,636
  5. Step 5: Solve for x
    x = 624,406,557,636/558,981
  6. Step 6: Final answer
    x = 1,117,044.33

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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.