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Finding the Third Proportional to 331,613 and 716,171

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Solution

The third proportional to 331,613 and 716,171 is: 1,546,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,613 : 716,171 = 716,171 : x
  2. Step 2: Convert to fraction form
    331,613/716,171 = 716,171/x
  3. Step 3: Cross multiply
    331,613x = 716,171 × 716,171
  4. Step 4: Simplify right side
    331,613x = 512,900,901,241
  5. Step 5: Solve for x
    x = 512,900,901,241/331,613
  6. Step 6: Final answer
    x = 1,546,685.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.