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Finding the Third Proportional to 788.06 and 1,464.75

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Solution

The third proportional to 788.06 and 1,464.75 is: 2,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,464.75 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    788.06/1,464.75 = 1,464.75/x
  3. Step 3: Cross multiply
    788.06x = 1,464.75 × 1,464.75
  4. Step 4: Simplify right side
    788.06x = 2,145,492.56
  5. Step 5: Solve for x
    x = 2,145,492.56/788.06
  6. Step 6: Final answer
    x = 2,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.