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Finding the Third Proportional to 320,273 and 741,354

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Solution

The third proportional to 320,273 and 741,354 is: 1,716,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,273 : 741,354 = 741,354 : x
  2. Step 2: Convert to fraction form
    320,273/741,354 = 741,354/x
  3. Step 3: Cross multiply
    320,273x = 741,354 × 741,354
  4. Step 4: Simplify right side
    320,273x = 549,605,753,316
  5. Step 5: Solve for x
    x = 549,605,753,316/320,273
  6. Step 6: Final answer
    x = 1,716,053.97

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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.