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Finding the Third Proportional to 386,370 and 863,136

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Solution

The third proportional to 386,370 and 863,136 is: 1,928,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,370 : 863,136 = 863,136 : x
  2. Step 2: Convert to fraction form
    386,370/863,136 = 863,136/x
  3. Step 3: Cross multiply
    386,370x = 863,136 × 863,136
  4. Step 4: Simplify right side
    386,370x = 745,003,754,496
  5. Step 5: Solve for x
    x = 745,003,754,496/386,370
  6. Step 6: Final answer
    x = 1,928,213.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.