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Finding the Third Proportional to 280,216.97 and 446,099.91

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Solution

The third proportional to 280,216.97 and 446,099.91 is: 710,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,216.97 : 446,099.91 = 446,099.91 : x
  2. Step 2: Convert to fraction form
    280,216.97/446,099.91 = 446,099.91/x
  3. Step 3: Cross multiply
    280,216.97x = 446,099.91 × 446,099.91
  4. Step 4: Simplify right side
    280,216.97x = 199,005,126,356.26
  5. Step 5: Solve for x
    x = 199,005,126,356.26/280,216.97
  6. Step 6: Final answer
    x = 710,182.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.