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Finding the Third Proportional to 234,751 and 506,006

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Solution

The third proportional to 234,751 and 506,006 is: 1,090,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,751 : 506,006 = 506,006 : x
  2. Step 2: Convert to fraction form
    234,751/506,006 = 506,006/x
  3. Step 3: Cross multiply
    234,751x = 506,006 × 506,006
  4. Step 4: Simplify right side
    234,751x = 256,042,072,036
  5. Step 5: Solve for x
    x = 256,042,072,036/234,751
  6. Step 6: Final answer
    x = 1,090,696.41

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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.