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Finding the Third Proportional to 299,922.75 and 476,978.63

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Solution

The third proportional to 299,922.75 and 476,978.63 is: 758,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,922.75 : 476,978.63 = 476,978.63 : x
  2. Step 2: Convert to fraction form
    299,922.75/476,978.63 = 476,978.63/x
  3. Step 3: Cross multiply
    299,922.75x = 476,978.63 × 476,978.63
  4. Step 4: Simplify right side
    299,922.75x = 227,508,608,706.89
  5. Step 5: Solve for x
    x = 227,508,608,706.89/299,922.75
  6. Step 6: Final answer
    x = 758,557.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.