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Finding the Third Proportional to 285,230 and 438,457

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Solution

The third proportional to 285,230 and 438,457 is: 673,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,230 : 438,457 = 438,457 : x
  2. Step 2: Convert to fraction form
    285,230/438,457 = 438,457/x
  3. Step 3: Cross multiply
    285,230x = 438,457 × 438,457
  4. Step 4: Simplify right side
    285,230x = 192,244,540,849
  5. Step 5: Solve for x
    x = 192,244,540,849/285,230
  6. Step 6: Final answer
    x = 673,998.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.