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Finding the Third Proportional to 386,370 and 833,247

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Solution

The third proportional to 386,370 and 833,247 is: 1,796,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,370 : 833,247 = 833,247 : x
  2. Step 2: Convert to fraction form
    386,370/833,247 = 833,247/x
  3. Step 3: Cross multiply
    386,370x = 833,247 × 833,247
  4. Step 4: Simplify right side
    386,370x = 694,300,563,009
  5. Step 5: Solve for x
    x = 694,300,563,009/386,370
  6. Step 6: Final answer
    x = 1,796,983.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.