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Finding the Third Proportional to 498,879 and 674,203.50

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Solution

The third proportional to 498,879 and 674,203.50 is: 911,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,879 : 674,203.50 = 674,203.50 : x
  2. Step 2: Convert to fraction form
    498,879/674,203.50 = 674,203.50/x
  3. Step 3: Cross multiply
    498,879x = 674,203.50 × 674,203.50
  4. Step 4: Simplify right side
    498,879x = 454,550,359,412.25
  5. Step 5: Solve for x
    x = 454,550,359,412.25/498,879
  6. Step 6: Final answer
    x = 911,143.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.