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Finding the Third Proportional to 253,438 and 589,307

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Solution

The third proportional to 253,438 and 589,307 is: 1,370,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,438 : 589,307 = 589,307 : x
  2. Step 2: Convert to fraction form
    253,438/589,307 = 589,307/x
  3. Step 3: Cross multiply
    253,438x = 589,307 × 589,307
  4. Step 4: Simplify right side
    253,438x = 347,282,740,249
  5. Step 5: Solve for x
    x = 347,282,740,249/253,438
  6. Step 6: Final answer
    x = 1,370,286.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.