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Finding the Third Proportional to 355,110 and 762,924

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Solution

The third proportional to 355,110 and 762,924 is: 1,639,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,110 : 762,924 = 762,924 : x
  2. Step 2: Convert to fraction form
    355,110/762,924 = 762,924/x
  3. Step 3: Cross multiply
    355,110x = 762,924 × 762,924
  4. Step 4: Simplify right side
    355,110x = 582,053,029,776
  5. Step 5: Solve for x
    x = 582,053,029,776/355,110
  6. Step 6: Final answer
    x = 1,639,078.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.