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Finding the Third Proportional to 365,766 and 522,039

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Solution

The third proportional to 365,766 and 522,039 is: 745,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,766 : 522,039 = 522,039 : x
  2. Step 2: Convert to fraction form
    365,766/522,039 = 522,039/x
  3. Step 3: Cross multiply
    365,766x = 522,039 × 522,039
  4. Step 4: Simplify right side
    365,766x = 272,524,717,521
  5. Step 5: Solve for x
    x = 272,524,717,521/365,766
  6. Step 6: Final answer
    x = 745,079.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.