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Finding the Third Proportional to 274,536 and 411,237

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Solution

The third proportional to 274,536 and 411,237 is: 616,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,536 : 411,237 = 411,237 : x
  2. Step 2: Convert to fraction form
    274,536/411,237 = 411,237/x
  3. Step 3: Cross multiply
    274,536x = 411,237 × 411,237
  4. Step 4: Simplify right side
    274,536x = 169,115,870,169
  5. Step 5: Solve for x
    x = 169,115,870,169/274,536
  6. Step 6: Final answer
    x = 616,006.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.