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Finding the Third Proportional to 284.77 and 618.89

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Solution

The third proportional to 284.77 and 618.89 is: 1,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.77 : 618.89 = 618.89 : x
  2. Step 2: Convert to fraction form
    284.77/618.89 = 618.89/x
  3. Step 3: Cross multiply
    284.77x = 618.89 × 618.89
  4. Step 4: Simplify right side
    284.77x = 383,025.61
  5. Step 5: Solve for x
    x = 383,025.61/284.77
  6. Step 6: Final answer
    x = 1,345.06

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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.