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Finding the Third Proportional to 303,448.50 and 664,042.13

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Solution

The third proportional to 303,448.50 and 664,042.13 is: 1,453,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,448.50 : 664,042.13 = 664,042.13 : x
  2. Step 2: Convert to fraction form
    303,448.50/664,042.13 = 664,042.13/x
  3. Step 3: Cross multiply
    303,448.50x = 664,042.13 × 664,042.13
  4. Step 4: Simplify right side
    303,448.50x = 440,951,943,774.52
  5. Step 5: Solve for x
    x = 440,951,943,774.52/303,448.50
  6. Step 6: Final answer
    x = 1,453,136.01

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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.