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Finding the Third Proportional to 538.88 and 788.63

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Solution

The third proportional to 538.88 and 788.63 is: 1,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 788.63 = 788.63 : x
  2. Step 2: Convert to fraction form
    538.88/788.63 = 788.63/x
  3. Step 3: Cross multiply
    538.88x = 788.63 × 788.63
  4. Step 4: Simplify right side
    538.88x = 621,929.39
  5. Step 5: Solve for x
    x = 621,929.39/538.88
  6. Step 6: Final answer
    x = 1,154.13

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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.