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Finding the Third Proportional to 288,858 and 630,204

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Solution

The third proportional to 288,858 and 630,204 is: 1,374,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,858 : 630,204 = 630,204 : x
  2. Step 2: Convert to fraction form
    288,858/630,204 = 630,204/x
  3. Step 3: Cross multiply
    288,858x = 630,204 × 630,204
  4. Step 4: Simplify right side
    288,858x = 397,157,081,616
  5. Step 5: Solve for x
    x = 397,157,081,616/288,858
  6. Step 6: Final answer
    x = 1,374,921.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.