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Finding the Third Proportional to 230,085 and 500,652

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Solution

The third proportional to 230,085 and 500,652 is: 1,089,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,085 : 500,652 = 500,652 : x
  2. Step 2: Convert to fraction form
    230,085/500,652 = 500,652/x
  3. Step 3: Cross multiply
    230,085x = 500,652 × 500,652
  4. Step 4: Simplify right side
    230,085x = 250,652,425,104
  5. Step 5: Solve for x
    x = 250,652,425,104/230,085
  6. Step 6: Final answer
    x = 1,089,390.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.