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Finding the Third Proportional to 488,976.75 and 730,640.25

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Solution

The third proportional to 488,976.75 and 730,640.25 is: 1,091,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,976.75 : 730,640.25 = 730,640.25 : x
  2. Step 2: Convert to fraction form
    488,976.75/730,640.25 = 730,640.25/x
  3. Step 3: Cross multiply
    488,976.75x = 730,640.25 × 730,640.25
  4. Step 4: Simplify right side
    488,976.75x = 533,835,174,920.06
  5. Step 5: Solve for x
    x = 533,835,174,920.06/488,976.75
  6. Step 6: Final answer
    x = 1,091,739.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.