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Finding the Third Proportional to 275,629.50 and 415,047.38

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Solution

The third proportional to 275,629.50 and 415,047.38 is: 624,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,629.50 : 415,047.38 = 415,047.38 : x
  2. Step 2: Convert to fraction form
    275,629.50/415,047.38 = 415,047.38/x
  3. Step 3: Cross multiply
    275,629.50x = 415,047.38 × 415,047.38
  4. Step 4: Simplify right side
    275,629.50x = 172,264,323,494.39
  5. Step 5: Solve for x
    x = 172,264,323,494.39/275,629.50
  6. Step 6: Final answer
    x = 624,985.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.