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Finding the Third Proportional to 307,500 and 675,538

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Solution

The third proportional to 307,500 and 675,538 is: 1,484,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,500 : 675,538 = 675,538 : x
  2. Step 2: Convert to fraction form
    307,500/675,538 = 675,538/x
  3. Step 3: Cross multiply
    307,500x = 675,538 × 675,538
  4. Step 4: Simplify right side
    307,500x = 456,351,589,444
  5. Step 5: Solve for x
    x = 456,351,589,444/307,500
  6. Step 6: Final answer
    x = 1,484,070.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.