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Finding the Third Proportional to 662.48 and 975.32

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Solution

The third proportional to 662.48 and 975.32 is: 1,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.48 : 975.32 = 975.32 : x
  2. Step 2: Convert to fraction form
    662.48/975.32 = 975.32/x
  3. Step 3: Cross multiply
    662.48x = 975.32 × 975.32
  4. Step 4: Simplify right side
    662.48x = 951,253.52
  5. Step 5: Solve for x
    x = 951,253.52/662.48
  6. Step 6: Final answer
    x = 1,435.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.