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Finding the Third Proportional to 353,668 and 773,306

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Solution

The third proportional to 353,668 and 773,306 is: 1,690,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,668 : 773,306 = 773,306 : x
  2. Step 2: Convert to fraction form
    353,668/773,306 = 773,306/x
  3. Step 3: Cross multiply
    353,668x = 773,306 × 773,306
  4. Step 4: Simplify right side
    353,668x = 598,002,169,636
  5. Step 5: Solve for x
    x = 598,002,169,636/353,668
  6. Step 6: Final answer
    x = 1,690,857.44

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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.