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Finding the Third Proportional to 285,600.94 and 610,552.69

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Solution

The third proportional to 285,600.94 and 610,552.69 is: 1,305,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,600.94 : 610,552.69 = 610,552.69 : x
  2. Step 2: Convert to fraction form
    285,600.94/610,552.69 = 610,552.69/x
  3. Step 3: Cross multiply
    285,600.94x = 610,552.69 × 610,552.69
  4. Step 4: Simplify right side
    285,600.94x = 372,774,584,213.47
  5. Step 5: Solve for x
    x = 372,774,584,213.47/285,600.94
  6. Step 6: Final answer
    x = 1,305,228.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.