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Finding the Third Proportional to 252,792.38 and 536,749.13

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Solution

The third proportional to 252,792.38 and 536,749.13 is: 1,139,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,792.38 : 536,749.13 = 536,749.13 : x
  2. Step 2: Convert to fraction form
    252,792.38/536,749.13 = 536,749.13/x
  3. Step 3: Cross multiply
    252,792.38x = 536,749.13 × 536,749.13
  4. Step 4: Simplify right side
    252,792.38x = 288,099,623,188.27
  5. Step 5: Solve for x
    x = 288,099,623,188.27/252,792.38
  6. Step 6: Final answer
    x = 1,139,668.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.