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Finding the Third Proportional to 351,385 and 772,741

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Solution

The third proportional to 351,385 and 772,741 is: 1,699,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,385 : 772,741 = 772,741 : x
  2. Step 2: Convert to fraction form
    351,385/772,741 = 772,741/x
  3. Step 3: Cross multiply
    351,385x = 772,741 × 772,741
  4. Step 4: Simplify right side
    351,385x = 597,128,653,081
  5. Step 5: Solve for x
    x = 597,128,653,081/351,385
  6. Step 6: Final answer
    x = 1,699,357.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.