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Finding the Third Proportional to 395,784 and 805,392

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Solution

The third proportional to 395,784 and 805,392 is: 1,638,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,784 : 805,392 = 805,392 : x
  2. Step 2: Convert to fraction form
    395,784/805,392 = 805,392/x
  3. Step 3: Cross multiply
    395,784x = 805,392 × 805,392
  4. Step 4: Simplify right side
    395,784x = 648,656,273,664
  5. Step 5: Solve for x
    x = 648,656,273,664/395,784
  6. Step 6: Final answer
    x = 1,638,914.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.