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Finding the Third Proportional to 578 and 1,007

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Solution

The third proportional to 578 and 1,007 is: 1,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 1,007 = 1,007 : x
  2. Step 2: Convert to fraction form
    578/1,007 = 1,007/x
  3. Step 3: Cross multiply
    578x = 1,007 × 1,007
  4. Step 4: Simplify right side
    578x = 1,014,049
  5. Step 5: Solve for x
    x = 1,014,049/578
  6. Step 6: Final answer
    x = 1,754.41

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.