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Finding the Third Proportional to 365,336 and 800,512

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Solution

The third proportional to 365,336 and 800,512 is: 1,754,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,336 : 800,512 = 800,512 : x
  2. Step 2: Convert to fraction form
    365,336/800,512 = 800,512/x
  3. Step 3: Cross multiply
    365,336x = 800,512 × 800,512
  4. Step 4: Simplify right side
    365,336x = 640,819,462,144
  5. Step 5: Solve for x
    x = 640,819,462,144/365,336
  6. Step 6: Final answer
    x = 1,754,055.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.