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Finding the Third Proportional to 677,644.50 and 903,406

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Solution

The third proportional to 677,644.50 and 903,406 is: 1,204,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,644.50 : 903,406 = 903,406 : x
  2. Step 2: Convert to fraction form
    677,644.50/903,406 = 903,406/x
  3. Step 3: Cross multiply
    677,644.50x = 903,406 × 903,406
  4. Step 4: Simplify right side
    677,644.50x = 816,142,400,836
  5. Step 5: Solve for x
    x = 816,142,400,836/677,644.50
  6. Step 6: Final answer
    x = 1,204,381.35

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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.