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Finding the Third Proportional to 352,074 and 768,663

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Solution

The third proportional to 352,074 and 768,663 is: 1,678,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,074 : 768,663 = 768,663 : x
  2. Step 2: Convert to fraction form
    352,074/768,663 = 768,663/x
  3. Step 3: Cross multiply
    352,074x = 768,663 × 768,663
  4. Step 4: Simplify right side
    352,074x = 590,842,807,569
  5. Step 5: Solve for x
    x = 590,842,807,569/352,074
  6. Step 6: Final answer
    x = 1,678,177.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.