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Finding the Third Proportional to 451,611 and 619,281

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Solution

The third proportional to 451,611 and 619,281 is: 849,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,611 : 619,281 = 619,281 : x
  2. Step 2: Convert to fraction form
    451,611/619,281 = 619,281/x
  3. Step 3: Cross multiply
    451,611x = 619,281 × 619,281
  4. Step 4: Simplify right side
    451,611x = 383,508,956,961
  5. Step 5: Solve for x
    x = 383,508,956,961/451,611
  6. Step 6: Final answer
    x = 849,201.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.