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Finding the Third Proportional to 467.50 and 725.94

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Solution

The third proportional to 467.50 and 725.94 is: 1,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.50 : 725.94 = 725.94 : x
  2. Step 2: Convert to fraction form
    467.50/725.94 = 725.94/x
  3. Step 3: Cross multiply
    467.50x = 725.94 × 725.94
  4. Step 4: Simplify right side
    467.50x = 526,985.25
  5. Step 5: Solve for x
    x = 526,985.25/467.50
  6. Step 6: Final answer
    x = 1,127.24

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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.