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Finding the Third Proportional to 285,084.56 and 619,449.19

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Solution

The third proportional to 285,084.56 and 619,449.19 is: 1,345,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,084.56 : 619,449.19 = 619,449.19 : x
  2. Step 2: Convert to fraction form
    285,084.56/619,449.19 = 619,449.19/x
  3. Step 3: Cross multiply
    285,084.56x = 619,449.19 × 619,449.19
  4. Step 4: Simplify right side
    285,084.56x = 383,717,295,894.41
  5. Step 5: Solve for x
    x = 383,717,295,894.41/285,084.56
  6. Step 6: Final answer
    x = 1,345,977.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.