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Finding the Third Proportional to 392,054 and 850,492

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Solution

The third proportional to 392,054 and 850,492 is: 1,844,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,054 : 850,492 = 850,492 : x
  2. Step 2: Convert to fraction form
    392,054/850,492 = 850,492/x
  3. Step 3: Cross multiply
    392,054x = 850,492 × 850,492
  4. Step 4: Simplify right side
    392,054x = 723,336,642,064
  5. Step 5: Solve for x
    x = 723,336,642,064/392,054
  6. Step 6: Final answer
    x = 1,844,992.38

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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.