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Finding the Third Proportional to 336,767 and 723,357

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Solution

The third proportional to 336,767 and 723,357 is: 1,553,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,767 : 723,357 = 723,357 : x
  2. Step 2: Convert to fraction form
    336,767/723,357 = 723,357/x
  3. Step 3: Cross multiply
    336,767x = 723,357 × 723,357
  4. Step 4: Simplify right side
    336,767x = 523,245,349,449
  5. Step 5: Solve for x
    x = 523,245,349,449/336,767
  6. Step 6: Final answer
    x = 1,553,731.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.