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Finding the Third Proportional to 650.32 and 1,005.33

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Solution

The third proportional to 650.32 and 1,005.33 is: 1,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 1,005.33 = 1,005.33 : x
  2. Step 2: Convert to fraction form
    650.32/1,005.33 = 1,005.33/x
  3. Step 3: Cross multiply
    650.32x = 1,005.33 × 1,005.33
  4. Step 4: Simplify right side
    650.32x = 1,010,684.64
  5. Step 5: Solve for x
    x = 1,010,684.64/650.32
  6. Step 6: Final answer
    x = 1,554.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.