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Finding the Third Proportional to 368,655 and 802,866

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Solution

The third proportional to 368,655 and 802,866 is: 1,748,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,655 : 802,866 = 802,866 : x
  2. Step 2: Convert to fraction form
    368,655/802,866 = 802,866/x
  3. Step 3: Cross multiply
    368,655x = 802,866 × 802,866
  4. Step 4: Simplify right side
    368,655x = 644,593,813,956
  5. Step 5: Solve for x
    x = 644,593,813,956/368,655
  6. Step 6: Final answer
    x = 1,748,501.48

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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.