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Finding the Third Proportional to 238,661 and 514,677

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Solution

The third proportional to 238,661 and 514,677 is: 1,109,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,661 : 514,677 = 514,677 : x
  2. Step 2: Convert to fraction form
    238,661/514,677 = 514,677/x
  3. Step 3: Cross multiply
    238,661x = 514,677 × 514,677
  4. Step 4: Simplify right side
    238,661x = 264,892,414,329
  5. Step 5: Solve for x
    x = 264,892,414,329/238,661
  6. Step 6: Final answer
    x = 1,109,910.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.