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Finding the Third Proportional to 351,784 and 850,292

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Solution

The third proportional to 351,784 and 850,292 is: 2,055,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,784 : 850,292 = 850,292 : x
  2. Step 2: Convert to fraction form
    351,784/850,292 = 850,292/x
  3. Step 3: Cross multiply
    351,784x = 850,292 × 850,292
  4. Step 4: Simplify right side
    351,784x = 722,996,485,264
  5. Step 5: Solve for x
    x = 722,996,485,264/351,784
  6. Step 6: Final answer
    x = 2,055,228.45

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.