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Finding the Third Proportional to 392,052 and 850,488

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Solution

The third proportional to 392,052 and 850,488 is: 1,844,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,052 : 850,488 = 850,488 : x
  2. Step 2: Convert to fraction form
    392,052/850,488 = 850,488/x
  3. Step 3: Cross multiply
    392,052x = 850,488 × 850,488
  4. Step 4: Simplify right side
    392,052x = 723,329,838,144
  5. Step 5: Solve for x
    x = 723,329,838,144/392,052
  6. Step 6: Final answer
    x = 1,844,984.44

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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.