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Finding the Third Proportional to 228,225.75 and 492,536.75

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Solution

The third proportional to 228,225.75 and 492,536.75 is: 1,062,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,225.75 : 492,536.75 = 492,536.75 : x
  2. Step 2: Convert to fraction form
    228,225.75/492,536.75 = 492,536.75/x
  3. Step 3: Cross multiply
    228,225.75x = 492,536.75 × 492,536.75
  4. Step 4: Simplify right side
    228,225.75x = 242,592,450,100.56
  5. Step 5: Solve for x
    x = 242,592,450,100.56/228,225.75
  6. Step 6: Final answer
    x = 1,062,949.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.