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Finding the Third Proportional to 285,218.63 and 438,439.88

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Solution

The third proportional to 285,218.63 and 438,439.88 is: 673,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,218.63 : 438,439.88 = 438,439.88 : x
  2. Step 2: Convert to fraction form
    285,218.63/438,439.88 = 438,439.88/x
  3. Step 3: Cross multiply
    285,218.63x = 438,439.88 × 438,439.88
  4. Step 4: Simplify right side
    285,218.63x = 192,229,523,990.02
  5. Step 5: Solve for x
    x = 192,229,523,990.02/285,218.63
  6. Step 6: Final answer
    x = 673,972.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.