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Finding the Third Proportional to 312,923.25 and 675,737.44

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Solution

The third proportional to 312,923.25 and 675,737.44 is: 1,459,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,923.25 : 675,737.44 = 675,737.44 : x
  2. Step 2: Convert to fraction form
    312,923.25/675,737.44 = 675,737.44/x
  3. Step 3: Cross multiply
    312,923.25x = 675,737.44 × 675,737.44
  4. Step 4: Simplify right side
    312,923.25x = 456,621,084,439.07
  5. Step 5: Solve for x
    x = 456,621,084,439.07/312,923.25
  6. Step 6: Final answer
    x = 1,459,211.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.