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Finding the Third Proportional to 229,399 and 505,453.75

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Solution

The third proportional to 229,399 and 505,453.75 is: 1,113,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,399 : 505,453.75 = 505,453.75 : x
  2. Step 2: Convert to fraction form
    229,399/505,453.75 = 505,453.75/x
  3. Step 3: Cross multiply
    229,399x = 505,453.75 × 505,453.75
  4. Step 4: Simplify right side
    229,399x = 255,483,493,389.06
  5. Step 5: Solve for x
    x = 255,483,493,389.06/229,399
  6. Step 6: Final answer
    x = 1,113,707.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.