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Finding the Third Proportional to 352,635.75 and 772,875

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Solution

The third proportional to 352,635.75 and 772,875 is: 1,693,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,635.75 : 772,875 = 772,875 : x
  2. Step 2: Convert to fraction form
    352,635.75/772,875 = 772,875/x
  3. Step 3: Cross multiply
    352,635.75x = 772,875 × 772,875
  4. Step 4: Simplify right side
    352,635.75x = 597,335,765,625
  5. Step 5: Solve for x
    x = 597,335,765,625/352,635.75
  6. Step 6: Final answer
    x = 1,693,917.21

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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.