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Finding the Third Proportional to 677,285 and 922,493.50

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Solution

The third proportional to 677,285 and 922,493.50 is: 1,256,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,285 : 922,493.50 = 922,493.50 : x
  2. Step 2: Convert to fraction form
    677,285/922,493.50 = 922,493.50/x
  3. Step 3: Cross multiply
    677,285x = 922,493.50 × 922,493.50
  4. Step 4: Simplify right side
    677,285x = 850,994,257,542.25
  5. Step 5: Solve for x
    x = 850,994,257,542.25/677,285
  6. Step 6: Final answer
    x = 1,256,478.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.