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Finding the Third Proportional to 663.66 and 1,023.33

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Solution

The third proportional to 663.66 and 1,023.33 is: 1,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 1,023.33 = 1,023.33 : x
  2. Step 2: Convert to fraction form
    663.66/1,023.33 = 1,023.33/x
  3. Step 3: Cross multiply
    663.66x = 1,023.33 × 1,023.33
  4. Step 4: Simplify right side
    663.66x = 1,047,200.45
  5. Step 5: Solve for x
    x = 1,047,200.45/663.66
  6. Step 6: Final answer
    x = 1,577.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.