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Finding the Third Proportional to 252,890.44 and 391,548.94

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Solution

The third proportional to 252,890.44 and 391,548.94 is: 606,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,890.44 : 391,548.94 = 391,548.94 : x
  2. Step 2: Convert to fraction form
    252,890.44/391,548.94 = 391,548.94/x
  3. Step 3: Cross multiply
    252,890.44x = 391,548.94 × 391,548.94
  4. Step 4: Simplify right side
    252,890.44x = 153,310,570,457.38
  5. Step 5: Solve for x
    x = 153,310,570,457.38/252,890.44
  6. Step 6: Final answer
    x = 606,233.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.