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Finding the Third Proportional to 293,012 and 445,136

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Solution

The third proportional to 293,012 and 445,136 is: 676,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,012 : 445,136 = 445,136 : x
  2. Step 2: Convert to fraction form
    293,012/445,136 = 445,136/x
  3. Step 3: Cross multiply
    293,012x = 445,136 × 445,136
  4. Step 4: Simplify right side
    293,012x = 198,146,058,496
  5. Step 5: Solve for x
    x = 198,146,058,496/293,012
  6. Step 6: Final answer
    x = 676,238.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.