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Finding the Third Proportional to 299,299.50 and 463,747.50

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Solution

The third proportional to 299,299.50 and 463,747.50 is: 718,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,299.50 : 463,747.50 = 463,747.50 : x
  2. Step 2: Convert to fraction form
    299,299.50/463,747.50 = 463,747.50/x
  3. Step 3: Cross multiply
    299,299.50x = 463,747.50 × 463,747.50
  4. Step 4: Simplify right side
    299,299.50x = 215,061,743,756.25
  5. Step 5: Solve for x
    x = 215,061,743,756.25/299,299.50
  6. Step 6: Final answer
    x = 718,550.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.