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Finding the Third Proportional to 272,648 and 594,868

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Solution

The third proportional to 272,648 and 594,868 is: 1,297,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,648 : 594,868 = 594,868 : x
  2. Step 2: Convert to fraction form
    272,648/594,868 = 594,868/x
  3. Step 3: Cross multiply
    272,648x = 594,868 × 594,868
  4. Step 4: Simplify right side
    272,648x = 353,867,937,424
  5. Step 5: Solve for x
    x = 353,867,937,424/272,648
  6. Step 6: Final answer
    x = 1,297,893.02

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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.