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Finding the Third Proportional to 451,236 and 676,951.50

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Solution

The third proportional to 451,236 and 676,951.50 is: 1,015,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,236 : 676,951.50 = 676,951.50 : x
  2. Step 2: Convert to fraction form
    451,236/676,951.50 = 676,951.50/x
  3. Step 3: Cross multiply
    451,236x = 676,951.50 × 676,951.50
  4. Step 4: Simplify right side
    451,236x = 458,263,333,352.25
  5. Step 5: Solve for x
    x = 458,263,333,352.25/451,236
  6. Step 6: Final answer
    x = 1,015,573.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.