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Finding the Third Proportional to 225,354.38 and 531,969.75

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Solution

The third proportional to 225,354.38 and 531,969.75 is: 1,255,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,354.38 : 531,969.75 = 531,969.75 : x
  2. Step 2: Convert to fraction form
    225,354.38/531,969.75 = 531,969.75/x
  3. Step 3: Cross multiply
    225,354.38x = 531,969.75 × 531,969.75
  4. Step 4: Simplify right side
    225,354.38x = 282,991,814,915.06
  5. Step 5: Solve for x
    x = 282,991,814,915.06/225,354.38
  6. Step 6: Final answer
    x = 1,255,763.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.