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Finding the Third Proportional to 248,984 and 379,236

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Solution

The third proportional to 248,984 and 379,236 is: 577,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,984 : 379,236 = 379,236 : x
  2. Step 2: Convert to fraction form
    248,984/379,236 = 379,236/x
  3. Step 3: Cross multiply
    248,984x = 379,236 × 379,236
  4. Step 4: Simplify right side
    248,984x = 143,819,943,696
  5. Step 5: Solve for x
    x = 143,819,943,696/248,984
  6. Step 6: Final answer
    x = 577,627.25

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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.