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Finding the Third Proportional to 353,122.50 and 522,816

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Solution

The third proportional to 353,122.50 and 522,816 is: 774,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,122.50 : 522,816 = 522,816 : x
  2. Step 2: Convert to fraction form
    353,122.50/522,816 = 522,816/x
  3. Step 3: Cross multiply
    353,122.50x = 522,816 × 522,816
  4. Step 4: Simplify right side
    353,122.50x = 273,336,569,856
  5. Step 5: Solve for x
    x = 273,336,569,856/353,122.50
  6. Step 6: Final answer
    x = 774,055.94

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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.