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Finding the Third Proportional to 352,741 and 775,466

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Solution

The third proportional to 352,741 and 775,466 is: 1,704,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,741 : 775,466 = 775,466 : x
  2. Step 2: Convert to fraction form
    352,741/775,466 = 775,466/x
  3. Step 3: Cross multiply
    352,741x = 775,466 × 775,466
  4. Step 4: Simplify right side
    352,741x = 601,347,517,156
  5. Step 5: Solve for x
    x = 601,347,517,156/352,741
  6. Step 6: Final answer
    x = 1,704,784.86

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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.