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Finding the Third Proportional to 366,212 and 565,908

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Solution

The third proportional to 366,212 and 565,908 is: 874,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,212 : 565,908 = 565,908 : x
  2. Step 2: Convert to fraction form
    366,212/565,908 = 565,908/x
  3. Step 3: Cross multiply
    366,212x = 565,908 × 565,908
  4. Step 4: Simplify right side
    366,212x = 320,251,864,464
  5. Step 5: Solve for x
    x = 320,251,864,464/366,212
  6. Step 6: Final answer
    x = 874,498.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.