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Finding the Third Proportional to 366,762 and 787,754

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Solution

The third proportional to 366,762 and 787,754 is: 1,691,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,762 : 787,754 = 787,754 : x
  2. Step 2: Convert to fraction form
    366,762/787,754 = 787,754/x
  3. Step 3: Cross multiply
    366,762x = 787,754 × 787,754
  4. Step 4: Simplify right side
    366,762x = 620,556,364,516
  5. Step 5: Solve for x
    x = 620,556,364,516/366,762
  6. Step 6: Final answer
    x = 1,691,986.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.