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Finding the Third Proportional to 378,664 and 810,520.50

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Solution

The third proportional to 378,664 and 810,520.50 is: 1,734,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,664 : 810,520.50 = 810,520.50 : x
  2. Step 2: Convert to fraction form
    378,664/810,520.50 = 810,520.50/x
  3. Step 3: Cross multiply
    378,664x = 810,520.50 × 810,520.50
  4. Step 4: Simplify right side
    378,664x = 656,943,480,920.25
  5. Step 5: Solve for x
    x = 656,943,480,920.25/378,664
  6. Step 6: Final answer
    x = 1,734,898.17

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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.