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Finding the Third Proportional to 352,064 and 760,249

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Solution

The third proportional to 352,064 and 760,249 is: 1,641,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,064 : 760,249 = 760,249 : x
  2. Step 2: Convert to fraction form
    352,064/760,249 = 760,249/x
  3. Step 3: Cross multiply
    352,064x = 760,249 × 760,249
  4. Step 4: Simplify right side
    352,064x = 577,978,542,001
  5. Step 5: Solve for x
    x = 577,978,542,001/352,064
  6. Step 6: Final answer
    x = 1,641,686.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.