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Finding the Third Proportional to 677,758 and 903,574.50

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Solution

The third proportional to 677,758 and 903,574.50 is: 1,204,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,758 : 903,574.50 = 903,574.50 : x
  2. Step 2: Convert to fraction form
    677,758/903,574.50 = 903,574.50/x
  3. Step 3: Cross multiply
    677,758x = 903,574.50 × 903,574.50
  4. Step 4: Simplify right side
    677,758x = 816,446,877,050.25
  5. Step 5: Solve for x
    x = 816,446,877,050.25/677,758
  6. Step 6: Final answer
    x = 1,204,628.90

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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.