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Finding the Third Proportional to 652,191.75 and 901,185.75

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Solution

The third proportional to 652,191.75 and 901,185.75 is: 1,245,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,191.75 : 901,185.75 = 901,185.75 : x
  2. Step 2: Convert to fraction form
    652,191.75/901,185.75 = 901,185.75/x
  3. Step 3: Cross multiply
    652,191.75x = 901,185.75 × 901,185.75
  4. Step 4: Simplify right side
    652,191.75x = 812,135,756,003.06
  5. Step 5: Solve for x
    x = 812,135,756,003.06/652,191.75
  6. Step 6: Final answer
    x = 1,245,240.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.