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Finding the Third Proportional to 336,963 and 741,318

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Solution

The third proportional to 336,963 and 741,318 is: 1,630,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,963 : 741,318 = 741,318 : x
  2. Step 2: Convert to fraction form
    336,963/741,318 = 741,318/x
  3. Step 3: Cross multiply
    336,963x = 741,318 × 741,318
  4. Step 4: Simplify right side
    336,963x = 549,552,377,124
  5. Step 5: Solve for x
    x = 549,552,377,124/336,963
  6. Step 6: Final answer
    x = 1,630,898.28

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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.