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Finding the Third Proportional to 272,646 and 594,864

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Solution

The third proportional to 272,646 and 594,864 is: 1,297,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,646 : 594,864 = 594,864 : x
  2. Step 2: Convert to fraction form
    272,646/594,864 = 594,864/x
  3. Step 3: Cross multiply
    272,646x = 594,864 × 594,864
  4. Step 4: Simplify right side
    272,646x = 353,863,178,496
  5. Step 5: Solve for x
    x = 353,863,178,496/272,646
  6. Step 6: Final answer
    x = 1,297,885.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.