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Finding the Third Proportional to 420,396.75 and 902,029.50

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Solution

The third proportional to 420,396.75 and 902,029.50 is: 1,935,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,396.75 : 902,029.50 = 902,029.50 : x
  2. Step 2: Convert to fraction form
    420,396.75/902,029.50 = 902,029.50/x
  3. Step 3: Cross multiply
    420,396.75x = 902,029.50 × 902,029.50
  4. Step 4: Simplify right side
    420,396.75x = 813,657,218,870.25
  5. Step 5: Solve for x
    x = 813,657,218,870.25/420,396.75
  6. Step 6: Final answer
    x = 1,935,450.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.