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Finding the Third Proportional to 352,649 and 772,904

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Solution

The third proportional to 352,649 and 772,904 is: 1,693,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,649 : 772,904 = 772,904 : x
  2. Step 2: Convert to fraction form
    352,649/772,904 = 772,904/x
  3. Step 3: Cross multiply
    352,649x = 772,904 × 772,904
  4. Step 4: Simplify right side
    352,649x = 597,380,593,216
  5. Step 5: Solve for x
    x = 597,380,593,216/352,649
  6. Step 6: Final answer
    x = 1,693,980.68

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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.