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Finding the Third Proportional to 320,284 and 741,376

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Solution

The third proportional to 320,284 and 741,376 is: 1,716,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,284 : 741,376 = 741,376 : x
  2. Step 2: Convert to fraction form
    320,284/741,376 = 741,376/x
  3. Step 3: Cross multiply
    320,284x = 741,376 × 741,376
  4. Step 4: Simplify right side
    320,284x = 549,638,373,376
  5. Step 5: Solve for x
    x = 549,638,373,376/320,284
  6. Step 6: Final answer
    x = 1,716,096.88

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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.