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Finding the Third Proportional to 284,774.17 and 601,554.09

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Solution

The third proportional to 284,774.17 and 601,554.09 is: 1,270,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,774.17 : 601,554.09 = 601,554.09 : x
  2. Step 2: Convert to fraction form
    284,774.17/601,554.09 = 601,554.09/x
  3. Step 3: Cross multiply
    284,774.17x = 601,554.09 × 601,554.09
  4. Step 4: Simplify right side
    284,774.17x = 361,867,327,707.38
  5. Step 5: Solve for x
    x = 361,867,327,707.38/284,774.17
  6. Step 6: Final answer
    x = 1,270,716.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.