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Finding the Third Proportional to 299,623.50 and 655,220.25

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Solution

The third proportional to 299,623.50 and 655,220.25 is: 1,432,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,623.50 : 655,220.25 = 655,220.25 : x
  2. Step 2: Convert to fraction form
    299,623.50/655,220.25 = 655,220.25/x
  3. Step 3: Cross multiply
    299,623.50x = 655,220.25 × 655,220.25
  4. Step 4: Simplify right side
    299,623.50x = 429,313,576,010.06
  5. Step 5: Solve for x
    x = 429,313,576,010.06/299,623.50
  6. Step 6: Final answer
    x = 1,432,843.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.