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Finding the Third Proportional to 354,915 and 531,825.75

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Solution

The third proportional to 354,915 and 531,825.75 is: 796,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,915 : 531,825.75 = 531,825.75 : x
  2. Step 2: Convert to fraction form
    354,915/531,825.75 = 531,825.75/x
  3. Step 3: Cross multiply
    354,915x = 531,825.75 × 531,825.75
  4. Step 4: Simplify right side
    354,915x = 282,838,628,363.06
  5. Step 5: Solve for x
    x = 282,838,628,363.06/354,915
  6. Step 6: Final answer
    x = 796,919.34

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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.