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Finding the Third Proportional to 365,825 and 771,502

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Solution

The third proportional to 365,825 and 771,502 is: 1,627,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,825 : 771,502 = 771,502 : x
  2. Step 2: Convert to fraction form
    365,825/771,502 = 771,502/x
  3. Step 3: Cross multiply
    365,825x = 771,502 × 771,502
  4. Step 4: Simplify right side
    365,825x = 595,215,336,004
  5. Step 5: Solve for x
    x = 595,215,336,004/365,825
  6. Step 6: Final answer
    x = 1,627,049.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.