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Finding the Third Proportional to 469.44 and 702.47

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Solution

The third proportional to 469.44 and 702.47 is: 1,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.44 : 702.47 = 702.47 : x
  2. Step 2: Convert to fraction form
    469.44/702.47 = 702.47/x
  3. Step 3: Cross multiply
    469.44x = 702.47 × 702.47
  4. Step 4: Simplify right side
    469.44x = 493,470.58
  5. Step 5: Solve for x
    x = 493,470.58/469.44
  6. Step 6: Final answer
    x = 1,051.19

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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.