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Finding the Third Proportional to 336,774 and 720,243

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Solution

The third proportional to 336,774 and 720,243 is: 1,540,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,774 : 720,243 = 720,243 : x
  2. Step 2: Convert to fraction form
    336,774/720,243 = 720,243/x
  3. Step 3: Cross multiply
    336,774x = 720,243 × 720,243
  4. Step 4: Simplify right side
    336,774x = 518,749,979,049
  5. Step 5: Solve for x
    x = 518,749,979,049/336,774
  6. Step 6: Final answer
    x = 1,540,350.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.