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Finding the Third Proportional to 600,033 and 844,024.50

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Solution

The third proportional to 600,033 and 844,024.50 is: 1,187,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,033 : 844,024.50 = 844,024.50 : x
  2. Step 2: Convert to fraction form
    600,033/844,024.50 = 844,024.50/x
  3. Step 3: Cross multiply
    600,033x = 844,024.50 × 844,024.50
  4. Step 4: Simplify right side
    600,033x = 712,377,356,600.25
  5. Step 5: Solve for x
    x = 712,377,356,600.25/600,033
  6. Step 6: Final answer
    x = 1,187,230.30

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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.