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Finding the Third Proportional to 558,912 and 790,092

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Solution

The third proportional to 558,912 and 790,092 is: 1,116,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,912 : 790,092 = 790,092 : x
  2. Step 2: Convert to fraction form
    558,912/790,092 = 790,092/x
  3. Step 3: Cross multiply
    558,912x = 790,092 × 790,092
  4. Step 4: Simplify right side
    558,912x = 624,245,368,464
  5. Step 5: Solve for x
    x = 624,245,368,464/558,912
  6. Step 6: Final answer
    x = 1,116,893.84

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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.