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Finding the Third Proportional to 442.52 and 702.84

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Solution

The third proportional to 442.52 and 702.84 is: 1,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.52 : 702.84 = 702.84 : x
  2. Step 2: Convert to fraction form
    442.52/702.84 = 702.84/x
  3. Step 3: Cross multiply
    442.52x = 702.84 × 702.84
  4. Step 4: Simplify right side
    442.52x = 493,989.34
  5. Step 5: Solve for x
    x = 493,989.34/442.52
  6. Step 6: Final answer
    x = 1,116.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.