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Finding the Third Proportional to 248,928 and 378,584

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Solution

The third proportional to 248,928 and 378,584 is: 575,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,928 : 378,584 = 378,584 : x
  2. Step 2: Convert to fraction form
    248,928/378,584 = 378,584/x
  3. Step 3: Cross multiply
    248,928x = 378,584 × 378,584
  4. Step 4: Simplify right side
    248,928x = 143,325,845,056
  5. Step 5: Solve for x
    x = 143,325,845,056/248,928
  6. Step 6: Final answer
    x = 575,772.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.