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Finding the Third Proportional to 317,808.56 and 471,214.97

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Solution

The third proportional to 317,808.56 and 471,214.97 is: 698,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,808.56 : 471,214.97 = 471,214.97 : x
  2. Step 2: Convert to fraction form
    317,808.56/471,214.97 = 471,214.97/x
  3. Step 3: Cross multiply
    317,808.56x = 471,214.97 × 471,214.97
  4. Step 4: Simplify right side
    317,808.56x = 222,043,546,774.06
  5. Step 5: Solve for x
    x = 222,043,546,774.06/317,808.56
  6. Step 6: Final answer
    x = 698,670.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.