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Finding the Third Proportional to 366,813 and 773,442

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Solution

The third proportional to 366,813 and 773,442 is: 1,630,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,813 : 773,442 = 773,442 : x
  2. Step 2: Convert to fraction form
    366,813/773,442 = 773,442/x
  3. Step 3: Cross multiply
    366,813x = 773,442 × 773,442
  4. Step 4: Simplify right side
    366,813x = 598,212,527,364
  5. Step 5: Solve for x
    x = 598,212,527,364/366,813
  6. Step 6: Final answer
    x = 1,630,837.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.