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Finding the Third Proportional to 366,218 and 565,917

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Solution

The third proportional to 366,218 and 565,917 is: 874,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,218 : 565,917 = 565,917 : x
  2. Step 2: Convert to fraction form
    366,218/565,917 = 565,917/x
  3. Step 3: Cross multiply
    366,218x = 565,917 × 565,917
  4. Step 4: Simplify right side
    366,218x = 320,262,050,889
  5. Step 5: Solve for x
    x = 320,262,050,889/366,218
  6. Step 6: Final answer
    x = 874,512.04

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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.