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Finding the Third Proportional to 379,010 and 816,772

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Solution

The third proportional to 379,010 and 816,772 is: 1,760,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,010 : 816,772 = 816,772 : x
  2. Step 2: Convert to fraction form
    379,010/816,772 = 816,772/x
  3. Step 3: Cross multiply
    379,010x = 816,772 × 816,772
  4. Step 4: Simplify right side
    379,010x = 667,116,499,984
  5. Step 5: Solve for x
    x = 667,116,499,984/379,010
  6. Step 6: Final answer
    x = 1,760,155.40

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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.