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Finding the Third Proportional to 413,046 and 848,325

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Solution

The third proportional to 413,046 and 848,325 is: 1,742,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,046 : 848,325 = 848,325 : x
  2. Step 2: Convert to fraction form
    413,046/848,325 = 848,325/x
  3. Step 3: Cross multiply
    413,046x = 848,325 × 848,325
  4. Step 4: Simplify right side
    413,046x = 719,655,305,625
  5. Step 5: Solve for x
    x = 719,655,305,625/413,046
  6. Step 6: Final answer
    x = 1,742,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.