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Finding the Third Proportional to 379,032 and 824,879

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Solution

The third proportional to 379,032 and 824,879 is: 1,795,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,032 : 824,879 = 824,879 : x
  2. Step 2: Convert to fraction form
    379,032/824,879 = 824,879/x
  3. Step 3: Cross multiply
    379,032x = 824,879 × 824,879
  4. Step 4: Simplify right side
    379,032x = 680,425,364,641
  5. Step 5: Solve for x
    x = 680,425,364,641/379,032
  6. Step 6: Final answer
    x = 1,795,166.01

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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.