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Finding the Third Proportional to 706,169.25 and 906,702.75

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Solution

The third proportional to 706,169.25 and 906,702.75 is: 1,164,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,169.25 : 906,702.75 = 906,702.75 : x
  2. Step 2: Convert to fraction form
    706,169.25/906,702.75 = 906,702.75/x
  3. Step 3: Cross multiply
    706,169.25x = 906,702.75 × 906,702.75
  4. Step 4: Simplify right side
    706,169.25x = 822,109,876,857.56
  5. Step 5: Solve for x
    x = 822,109,876,857.56/706,169.25
  6. Step 6: Final answer
    x = 1,164,182.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.