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Finding the Third Proportional to 352,084.25 and 760,293.75

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Solution

The third proportional to 352,084.25 and 760,293.75 is: 1,641,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,084.25 : 760,293.75 = 760,293.75 : x
  2. Step 2: Convert to fraction form
    352,084.25/760,293.75 = 760,293.75/x
  3. Step 3: Cross multiply
    352,084.25x = 760,293.75 × 760,293.75
  4. Step 4: Simplify right side
    352,084.25x = 578,046,586,289.06
  5. Step 5: Solve for x
    x = 578,046,586,289.06/352,084.25
  6. Step 6: Final answer
    x = 1,641,784.85

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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.