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Finding the Third Proportional to 467.30 and 702.28

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Solution

The third proportional to 467.30 and 702.28 is: 1,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 702.28 = 702.28 : x
  2. Step 2: Convert to fraction form
    467.30/702.28 = 702.28/x
  3. Step 3: Cross multiply
    467.30x = 702.28 × 702.28
  4. Step 4: Simplify right side
    467.30x = 493,198.95
  5. Step 5: Solve for x
    x = 493,198.95/467.30
  6. Step 6: Final answer
    x = 1,055.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.