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Finding the Third Proportional to 379,078 and 824,583

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Solution

The third proportional to 379,078 and 824,583 is: 1,793,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,078 : 824,583 = 824,583 : x
  2. Step 2: Convert to fraction form
    379,078/824,583 = 824,583/x
  3. Step 3: Cross multiply
    379,078x = 824,583 × 824,583
  4. Step 4: Simplify right side
    379,078x = 679,937,123,889
  5. Step 5: Solve for x
    x = 679,937,123,889/379,078
  6. Step 6: Final answer
    x = 1,793,660.21

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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.