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Finding the Third Proportional to 320,270 and 741,346

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Solution

The third proportional to 320,270 and 741,346 is: 1,716,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,270 : 741,346 = 741,346 : x
  2. Step 2: Convert to fraction form
    320,270/741,346 = 741,346/x
  3. Step 3: Cross multiply
    320,270x = 741,346 × 741,346
  4. Step 4: Simplify right side
    320,270x = 549,593,891,716
  5. Step 5: Solve for x
    x = 549,593,891,716/320,270
  6. Step 6: Final answer
    x = 1,716,033.01

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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.