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Finding the Third Proportional to 621.32 and 1,328.59

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Solution

The third proportional to 621.32 and 1,328.59 is: 2,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.32 : 1,328.59 = 1,328.59 : x
  2. Step 2: Convert to fraction form
    621.32/1,328.59 = 1,328.59/x
  3. Step 3: Cross multiply
    621.32x = 1,328.59 × 1,328.59
  4. Step 4: Simplify right side
    621.32x = 1,765,150.97
  5. Step 5: Solve for x
    x = 1,765,150.97/621.32
  6. Step 6: Final answer
    x = 2,840.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.