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Finding the Third Proportional to 285,599.25 and 437,541.75

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Solution

The third proportional to 285,599.25 and 437,541.75 is: 670,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,599.25 : 437,541.75 = 437,541.75 : x
  2. Step 2: Convert to fraction form
    285,599.25/437,541.75 = 437,541.75/x
  3. Step 3: Cross multiply
    285,599.25x = 437,541.75 × 437,541.75
  4. Step 4: Simplify right side
    285,599.25x = 191,442,782,993.06
  5. Step 5: Solve for x
    x = 191,442,782,993.06/285,599.25
  6. Step 6: Final answer
    x = 670,319.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.