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Finding the Third Proportional to 368,744 and 802,381

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Solution

The third proportional to 368,744 and 802,381 is: 1,745,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,744 : 802,381 = 802,381 : x
  2. Step 2: Convert to fraction form
    368,744/802,381 = 802,381/x
  3. Step 3: Cross multiply
    368,744x = 802,381 × 802,381
  4. Step 4: Simplify right side
    368,744x = 643,815,269,161
  5. Step 5: Solve for x
    x = 643,815,269,161/368,744
  6. Step 6: Final answer
    x = 1,745,968.12

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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.