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Finding the Third Proportional to 296,027 and 648,392

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Solution

The third proportional to 296,027 and 648,392 is: 1,420,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,027 : 648,392 = 648,392 : x
  2. Step 2: Convert to fraction form
    296,027/648,392 = 648,392/x
  3. Step 3: Cross multiply
    296,027x = 648,392 × 648,392
  4. Step 4: Simplify right side
    296,027x = 420,412,185,664
  5. Step 5: Solve for x
    x = 420,412,185,664/296,027
  6. Step 6: Final answer
    x = 1,420,181.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.