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Finding the Third Proportional to 317,733.75 and 698,235.75

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Solution

The third proportional to 317,733.75 and 698,235.75 is: 1,534,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,733.75 : 698,235.75 = 698,235.75 : x
  2. Step 2: Convert to fraction form
    317,733.75/698,235.75 = 698,235.75/x
  3. Step 3: Cross multiply
    317,733.75x = 698,235.75 × 698,235.75
  4. Step 4: Simplify right side
    317,733.75x = 487,533,162,578.06
  5. Step 5: Solve for x
    x = 487,533,162,578.06/317,733.75
  6. Step 6: Final answer
    x = 1,534,407.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.