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Finding the Third Proportional to 601,212 and 932,193

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Solution

The third proportional to 601,212 and 932,193 is: 1,445,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,212 : 932,193 = 932,193 : x
  2. Step 2: Convert to fraction form
    601,212/932,193 = 932,193/x
  3. Step 3: Cross multiply
    601,212x = 932,193 × 932,193
  4. Step 4: Simplify right side
    601,212x = 868,983,789,249
  5. Step 5: Solve for x
    x = 868,983,789,249/601,212
  6. Step 6: Final answer
    x = 1,445,386.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.