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Finding the Third Proportional to 253,732.50 and 601,101

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Solution

The third proportional to 253,732.50 and 601,101 is: 1,424,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,732.50 : 601,101 = 601,101 : x
  2. Step 2: Convert to fraction form
    253,732.50/601,101 = 601,101/x
  3. Step 3: Cross multiply
    253,732.50x = 601,101 × 601,101
  4. Step 4: Simplify right side
    253,732.50x = 361,322,412,201
  5. Step 5: Solve for x
    x = 361,322,412,201/253,732.50
  6. Step 6: Final answer
    x = 1,424,028.90

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.