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Finding the Third Proportional to 205,722 and 436,716

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Solution

The third proportional to 205,722 and 436,716 is: 927,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722 : 436,716 = 436,716 : x
  2. Step 2: Convert to fraction form
    205,722/436,716 = 436,716/x
  3. Step 3: Cross multiply
    205,722x = 436,716 × 436,716
  4. Step 4: Simplify right side
    205,722x = 190,720,864,656
  5. Step 5: Solve for x
    x = 190,720,864,656/205,722
  6. Step 6: Final answer
    x = 927,080.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.