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Finding the Third Proportional to 840.94 and 1,702.13

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Solution

The third proportional to 840.94 and 1,702.13 is: 3,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.94 : 1,702.13 = 1,702.13 : x
  2. Step 2: Convert to fraction form
    840.94/1,702.13 = 1,702.13/x
  3. Step 3: Cross multiply
    840.94x = 1,702.13 × 1,702.13
  4. Step 4: Simplify right side
    840.94x = 2,897,229.52
  5. Step 5: Solve for x
    x = 2,897,229.52/840.94
  6. Step 6: Final answer
    x = 3,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.