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Finding the Third Proportional to 420,282 and 899,608.50

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Solution

The third proportional to 420,282 and 899,608.50 is: 1,925,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,282 : 899,608.50 = 899,608.50 : x
  2. Step 2: Convert to fraction form
    420,282/899,608.50 = 899,608.50/x
  3. Step 3: Cross multiply
    420,282x = 899,608.50 × 899,608.50
  4. Step 4: Simplify right side
    420,282x = 809,295,453,272.25
  5. Step 5: Solve for x
    x = 809,295,453,272.25/420,282
  6. Step 6: Final answer
    x = 1,925,601.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.