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Finding the Third Proportional to 536,736 and 802,349

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Solution

The third proportional to 536,736 and 802,349 is: 1,199,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,736 : 802,349 = 802,349 : x
  2. Step 2: Convert to fraction form
    536,736/802,349 = 802,349/x
  3. Step 3: Cross multiply
    536,736x = 802,349 × 802,349
  4. Step 4: Simplify right side
    536,736x = 643,763,917,801
  5. Step 5: Solve for x
    x = 643,763,917,801/536,736
  6. Step 6: Final answer
    x = 1,199,405.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.