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Finding the Third Proportional to 248,983 and 376,438

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Solution

The third proportional to 248,983 and 376,438 is: 569,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,983 : 376,438 = 376,438 : x
  2. Step 2: Convert to fraction form
    248,983/376,438 = 376,438/x
  3. Step 3: Cross multiply
    248,983x = 376,438 × 376,438
  4. Step 4: Simplify right side
    248,983x = 141,705,567,844
  5. Step 5: Solve for x
    x = 141,705,567,844/248,983
  6. Step 6: Final answer
    x = 569,137.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.