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Finding the Third Proportional to 336,495 and 741,273

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Solution

The third proportional to 336,495 and 741,273 is: 1,632,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,495 : 741,273 = 741,273 : x
  2. Step 2: Convert to fraction form
    336,495/741,273 = 741,273/x
  3. Step 3: Cross multiply
    336,495x = 741,273 × 741,273
  4. Step 4: Simplify right side
    336,495x = 549,485,660,529
  5. Step 5: Solve for x
    x = 549,485,660,529/336,495
  6. Step 6: Final answer
    x = 1,632,968.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.