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Finding the Third Proportional to 288,013 and 628,436

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Solution

The third proportional to 288,013 and 628,436 is: 1,371,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,013 : 628,436 = 628,436 : x
  2. Step 2: Convert to fraction form
    288,013/628,436 = 628,436/x
  3. Step 3: Cross multiply
    288,013x = 628,436 × 628,436
  4. Step 4: Simplify right side
    288,013x = 394,931,806,096
  5. Step 5: Solve for x
    x = 394,931,806,096/288,013
  6. Step 6: Final answer
    x = 1,371,229.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.