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Finding the Third Proportional to 632.50 and 1,467.33

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Solution

The third proportional to 632.50 and 1,467.33 is: 3,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 1,467.33 = 1,467.33 : x
  2. Step 2: Convert to fraction form
    632.50/1,467.33 = 1,467.33/x
  3. Step 3: Cross multiply
    632.50x = 1,467.33 × 1,467.33
  4. Step 4: Simplify right side
    632.50x = 2,153,069.02
  5. Step 5: Solve for x
    x = 2,153,069.02/632.50
  6. Step 6: Final answer
    x = 3,404.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.