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Finding the Third Proportional to 352,062 and 760,245

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Solution

The third proportional to 352,062 and 760,245 is: 1,641,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,062 : 760,245 = 760,245 : x
  2. Step 2: Convert to fraction form
    352,062/760,245 = 760,245/x
  3. Step 3: Cross multiply
    352,062x = 760,245 × 760,245
  4. Step 4: Simplify right side
    352,062x = 577,972,460,025
  5. Step 5: Solve for x
    x = 577,972,460,025/352,062
  6. Step 6: Final answer
    x = 1,641,678.06

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Why These Related Problems?

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