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Finding the Third Proportional to 397,006 and 865,392

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Solution

The third proportional to 397,006 and 865,392 is: 1,886,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,006 : 865,392 = 865,392 : x
  2. Step 2: Convert to fraction form
    397,006/865,392 = 865,392/x
  3. Step 3: Cross multiply
    397,006x = 865,392 × 865,392
  4. Step 4: Simplify right side
    397,006x = 748,903,313,664
  5. Step 5: Solve for x
    x = 748,903,313,664/397,006
  6. Step 6: Final answer
    x = 1,886,377.82

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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.