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Finding the Third Proportional to 514,392 and 801,027

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Solution

The third proportional to 514,392 and 801,027 is: 1,247,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,392 : 801,027 = 801,027 : x
  2. Step 2: Convert to fraction form
    514,392/801,027 = 801,027/x
  3. Step 3: Cross multiply
    514,392x = 801,027 × 801,027
  4. Step 4: Simplify right side
    514,392x = 641,644,254,729
  5. Step 5: Solve for x
    x = 641,644,254,729/514,392
  6. Step 6: Final answer
    x = 1,247,383.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.