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Finding the Third Proportional to 451,642 and 660,503

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Solution

The third proportional to 451,642 and 660,503 is: 965,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,642 : 660,503 = 660,503 : x
  2. Step 2: Convert to fraction form
    451,642/660,503 = 660,503/x
  3. Step 3: Cross multiply
    451,642x = 660,503 × 660,503
  4. Step 4: Simplify right side
    451,642x = 436,264,213,009
  5. Step 5: Solve for x
    x = 436,264,213,009/451,642
  6. Step 6: Final answer
    x = 965,951.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.