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Finding the Third Proportional to 379,084.50 and 824,598

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Solution

The third proportional to 379,084.50 and 824,598 is: 1,793,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,084.50 : 824,598 = 824,598 : x
  2. Step 2: Convert to fraction form
    379,084.50/824,598 = 824,598/x
  3. Step 3: Cross multiply
    379,084.50x = 824,598 × 824,598
  4. Step 4: Simplify right side
    379,084.50x = 679,961,861,604
  5. Step 5: Solve for x
    x = 679,961,861,604/379,084.50
  6. Step 6: Final answer
    x = 1,793,694.71

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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.