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Finding the Third Proportional to 459,092.25 and 698,793.75

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Solution

The third proportional to 459,092.25 and 698,793.75 is: 1,063,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,092.25 : 698,793.75 = 698,793.75 : x
  2. Step 2: Convert to fraction form
    459,092.25/698,793.75 = 698,793.75/x
  3. Step 3: Cross multiply
    459,092.25x = 698,793.75 × 698,793.75
  4. Step 4: Simplify right side
    459,092.25x = 488,312,705,039.06
  5. Step 5: Solve for x
    x = 488,312,705,039.06/459,092.25
  6. Step 6: Final answer
    x = 1,063,648.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.