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Finding the Third Proportional to 299,391.75 and 665,223.75

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Solution

The third proportional to 299,391.75 and 665,223.75 is: 1,478,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,391.75 : 665,223.75 = 665,223.75 : x
  2. Step 2: Convert to fraction form
    299,391.75/665,223.75 = 665,223.75/x
  3. Step 3: Cross multiply
    299,391.75x = 665,223.75 × 665,223.75
  4. Step 4: Simplify right side
    299,391.75x = 442,522,637,564.06
  5. Step 5: Solve for x
    x = 442,522,637,564.06/299,391.75
  6. Step 6: Final answer
    x = 1,478,072.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.