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Finding the Third Proportional to 522,795.75 and 774,477

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Solution

The third proportional to 522,795.75 and 774,477 is: 1,147,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,795.75 : 774,477 = 774,477 : x
  2. Step 2: Convert to fraction form
    522,795.75/774,477 = 774,477/x
  3. Step 3: Cross multiply
    522,795.75x = 774,477 × 774,477
  4. Step 4: Simplify right side
    522,795.75x = 599,814,623,529
  5. Step 5: Solve for x
    x = 599,814,623,529/522,795.75
  6. Step 6: Final answer
    x = 1,147,321.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.