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Finding the Third Proportional to 926.44 and 1,346.06

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Solution

The third proportional to 926.44 and 1,346.06 is: 1,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.44 : 1,346.06 = 1,346.06 : x
  2. Step 2: Convert to fraction form
    926.44/1,346.06 = 1,346.06/x
  3. Step 3: Cross multiply
    926.44x = 1,346.06 × 1,346.06
  4. Step 4: Simplify right side
    926.44x = 1,811,884.25
  5. Step 5: Solve for x
    x = 1,811,884.25/926.44
  6. Step 6: Final answer
    x = 1,955.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.