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Finding the Third Proportional to 506.88 and 740.39

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Solution

The third proportional to 506.88 and 740.39 is: 1,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 740.39 = 740.39 : x
  2. Step 2: Convert to fraction form
    506.88/740.39 = 740.39/x
  3. Step 3: Cross multiply
    506.88x = 740.39 × 740.39
  4. Step 4: Simplify right side
    506.88x = 548,178.28
  5. Step 5: Solve for x
    x = 548,178.28/506.88
  6. Step 6: Final answer
    x = 1,081.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.