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Finding the Third Proportional to 317,118.75 and 434,853.75

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Solution

The third proportional to 317,118.75 and 434,853.75 is: 596,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,118.75 : 434,853.75 = 434,853.75 : x
  2. Step 2: Convert to fraction form
    317,118.75/434,853.75 = 434,853.75/x
  3. Step 3: Cross multiply
    317,118.75x = 434,853.75 × 434,853.75
  4. Step 4: Simplify right side
    317,118.75x = 189,097,783,889.06
  5. Step 5: Solve for x
    x = 189,097,783,889.06/317,118.75
  6. Step 6: Final answer
    x = 596,299.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.