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Finding the Third Proportional to 353,349 and 773,986

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Solution

The third proportional to 353,349 and 773,986 is: 1,695,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,349 : 773,986 = 773,986 : x
  2. Step 2: Convert to fraction form
    353,349/773,986 = 773,986/x
  3. Step 3: Cross multiply
    353,349x = 773,986 × 773,986
  4. Step 4: Simplify right side
    353,349x = 599,054,328,196
  5. Step 5: Solve for x
    x = 599,054,328,196/353,349
  6. Step 6: Final answer
    x = 1,695,361.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.