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Finding the Third Proportional to 320,274 and 741,357

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Solution

The third proportional to 320,274 and 741,357 is: 1,716,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,274 : 741,357 = 741,357 : x
  2. Step 2: Convert to fraction form
    320,274/741,357 = 741,357/x
  3. Step 3: Cross multiply
    320,274x = 741,357 × 741,357
  4. Step 4: Simplify right side
    320,274x = 549,610,201,449
  5. Step 5: Solve for x
    x = 549,610,201,449/320,274
  6. Step 6: Final answer
    x = 1,716,062.50

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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.