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Finding the Third Proportional to 252,072 and 385,791.75

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Solution

The third proportional to 252,072 and 385,791.75 is: 590,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,072 : 385,791.75 = 385,791.75 : x
  2. Step 2: Convert to fraction form
    252,072/385,791.75 = 385,791.75/x
  3. Step 3: Cross multiply
    252,072x = 385,791.75 × 385,791.75
  4. Step 4: Simplify right side
    252,072x = 148,835,274,368.06
  5. Step 5: Solve for x
    x = 148,835,274,368.06/252,072
  6. Step 6: Final answer
    x = 590,447.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.