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Finding the Third Proportional to 365,229 and 800,511

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Solution

The third proportional to 365,229 and 800,511 is: 1,754,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,229 : 800,511 = 800,511 : x
  2. Step 2: Convert to fraction form
    365,229/800,511 = 800,511/x
  3. Step 3: Cross multiply
    365,229x = 800,511 × 800,511
  4. Step 4: Simplify right side
    365,229x = 640,817,861,121
  5. Step 5: Solve for x
    x = 640,817,861,121/365,229
  6. Step 6: Final answer
    x = 1,754,564.56

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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.