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Finding the Third Proportional to 238,026 and 519,516

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Solution

The third proportional to 238,026 and 519,516 is: 1,133,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,026 : 519,516 = 519,516 : x
  2. Step 2: Convert to fraction form
    238,026/519,516 = 519,516/x
  3. Step 3: Cross multiply
    238,026x = 519,516 × 519,516
  4. Step 4: Simplify right side
    238,026x = 269,896,874,256
  5. Step 5: Solve for x
    x = 269,896,874,256/238,026
  6. Step 6: Final answer
    x = 1,133,896.61

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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.