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Finding the Third Proportional to 558,927 and 790,114.50

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Solution

The third proportional to 558,927 and 790,114.50 is: 1,116,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,927 : 790,114.50 = 790,114.50 : x
  2. Step 2: Convert to fraction form
    558,927/790,114.50 = 790,114.50/x
  3. Step 3: Cross multiply
    558,927x = 790,114.50 × 790,114.50
  4. Step 4: Simplify right side
    558,927x = 624,280,923,110.25
  5. Step 5: Solve for x
    x = 624,280,923,110.25/558,927
  6. Step 6: Final answer
    x = 1,116,927.48

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