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Finding the Third Proportional to 745.88 and 1,048.50

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Solution

The third proportional to 745.88 and 1,048.50 is: 1,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.88 : 1,048.50 = 1,048.50 : x
  2. Step 2: Convert to fraction form
    745.88/1,048.50 = 1,048.50/x
  3. Step 3: Cross multiply
    745.88x = 1,048.50 × 1,048.50
  4. Step 4: Simplify right side
    745.88x = 1,099,352.25
  5. Step 5: Solve for x
    x = 1,099,352.25/745.88
  6. Step 6: Final answer
    x = 1,473.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.