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Finding the Third Proportional to 355,266 and 531,972.56

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Solution

The third proportional to 355,266 and 531,972.56 is: 796,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,266 : 531,972.56 = 531,972.56 : x
  2. Step 2: Convert to fraction form
    355,266/531,972.56 = 531,972.56/x
  3. Step 3: Cross multiply
    355,266x = 531,972.56 × 531,972.56
  4. Step 4: Simplify right side
    355,266x = 282,994,807,252.82
  5. Step 5: Solve for x
    x = 282,994,807,252.82/355,266
  6. Step 6: Final answer
    x = 796,571.60

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Why These Related Problems?

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