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Finding the Third Proportional to 391,996 and 850,376

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Solution

The third proportional to 391,996 and 850,376 is: 1,844,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,996 : 850,376 = 850,376 : x
  2. Step 2: Convert to fraction form
    391,996/850,376 = 850,376/x
  3. Step 3: Cross multiply
    391,996x = 850,376 × 850,376
  4. Step 4: Simplify right side
    391,996x = 723,139,341,376
  5. Step 5: Solve for x
    x = 723,139,341,376/391,996
  6. Step 6: Final answer
    x = 1,844,762.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.