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Finding the Third Proportional to 332,164 and 522,054

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Solution

The third proportional to 332,164 and 522,054 is: 820,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,164 : 522,054 = 522,054 : x
  2. Step 2: Convert to fraction form
    332,164/522,054 = 522,054/x
  3. Step 3: Cross multiply
    332,164x = 522,054 × 522,054
  4. Step 4: Simplify right side
    332,164x = 272,540,378,916
  5. Step 5: Solve for x
    x = 272,540,378,916/332,164
  6. Step 6: Final answer
    x = 820,499.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.