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Finding the Third Proportional to 392,044.50 and 850,473

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Solution

The third proportional to 392,044.50 and 850,473 is: 1,844,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,044.50 : 850,473 = 850,473 : x
  2. Step 2: Convert to fraction form
    392,044.50/850,473 = 850,473/x
  3. Step 3: Cross multiply
    392,044.50x = 850,473 × 850,473
  4. Step 4: Simplify right side
    392,044.50x = 723,304,323,729
  5. Step 5: Solve for x
    x = 723,304,323,729/392,044.50
  6. Step 6: Final answer
    x = 1,844,954.65

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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.