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Finding the Third Proportional to 337.88 and 740.64

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Solution

The third proportional to 337.88 and 740.64 is: 1,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.88 : 740.64 = 740.64 : x
  2. Step 2: Convert to fraction form
    337.88/740.64 = 740.64/x
  3. Step 3: Cross multiply
    337.88x = 740.64 × 740.64
  4. Step 4: Simplify right side
    337.88x = 548,540.71
  5. Step 5: Solve for x
    x = 548,540.71/337.88
  6. Step 6: Final answer
    x = 1,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.