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Finding the Third Proportional to 275,028.75 and 609,106.50

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Solution

The third proportional to 275,028.75 and 609,106.50 is: 1,348,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,028.75 : 609,106.50 = 609,106.50 : x
  2. Step 2: Convert to fraction form
    275,028.75/609,106.50 = 609,106.50/x
  3. Step 3: Cross multiply
    275,028.75x = 609,106.50 × 609,106.50
  4. Step 4: Simplify right side
    275,028.75x = 371,010,728,342.25
  5. Step 5: Solve for x
    x = 371,010,728,342.25/275,028.75
  6. Step 6: Final answer
    x = 1,348,988.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.