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Finding the Third Proportional to 903,441 and 1,204,438.50

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Solution

The third proportional to 903,441 and 1,204,438.50 is: 1,605,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,441 : 1,204,438.50 = 1,204,438.50 : x
  2. Step 2: Convert to fraction form
    903,441/1,204,438.50 = 1,204,438.50/x
  3. Step 3: Cross multiply
    903,441x = 1,204,438.50 × 1,204,438.50
  4. Step 4: Simplify right side
    903,441x = 1,450,672,100,282.25
  5. Step 5: Solve for x
    x = 1,450,672,100,282.25/903,441
  6. Step 6: Final answer
    x = 1,605,718.69

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.