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Finding the Third Proportional to 228,573 and 501,439.50

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Solution

The third proportional to 228,573 and 501,439.50 is: 1,100,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,573 : 501,439.50 = 501,439.50 : x
  2. Step 2: Convert to fraction form
    228,573/501,439.50 = 501,439.50/x
  3. Step 3: Cross multiply
    228,573x = 501,439.50 × 501,439.50
  4. Step 4: Simplify right side
    228,573x = 251,441,572,160.25
  5. Step 5: Solve for x
    x = 251,441,572,160.25/228,573
  6. Step 6: Final answer
    x = 1,100,049.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.