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Finding the Third Proportional to 320,282 and 741,374

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Solution

The third proportional to 320,282 and 741,374 is: 1,716,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,282 : 741,374 = 741,374 : x
  2. Step 2: Convert to fraction form
    320,282/741,374 = 741,374/x
  3. Step 3: Cross multiply
    320,282x = 741,374 × 741,374
  4. Step 4: Simplify right side
    320,282x = 549,635,407,876
  5. Step 5: Solve for x
    x = 549,635,407,876/320,282
  6. Step 6: Final answer
    x = 1,716,098.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.