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Finding the Third Proportional to 303,168 and 654,592

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Solution

The third proportional to 303,168 and 654,592 is: 1,413,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,168 : 654,592 = 654,592 : x
  2. Step 2: Convert to fraction form
    303,168/654,592 = 654,592/x
  3. Step 3: Cross multiply
    303,168x = 654,592 × 654,592
  4. Step 4: Simplify right side
    303,168x = 428,490,686,464
  5. Step 5: Solve for x
    x = 428,490,686,464/303,168
  6. Step 6: Final answer
    x = 1,413,377.03

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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.