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Finding the Third Proportional to 227,530.50 and 505,564.50

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Solution

The third proportional to 227,530.50 and 505,564.50 is: 1,123,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,530.50 : 505,564.50 = 505,564.50 : x
  2. Step 2: Convert to fraction form
    227,530.50/505,564.50 = 505,564.50/x
  3. Step 3: Cross multiply
    227,530.50x = 505,564.50 × 505,564.50
  4. Step 4: Simplify right side
    227,530.50x = 255,595,463,660.25
  5. Step 5: Solve for x
    x = 255,595,463,660.25/227,530.50
  6. Step 6: Final answer
    x = 1,123,345.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.