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Finding the Third Proportional to 344,532 and 503,190

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Solution

The third proportional to 344,532 and 503,190 is: 734,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,532 : 503,190 = 503,190 : x
  2. Step 2: Convert to fraction form
    344,532/503,190 = 503,190/x
  3. Step 3: Cross multiply
    344,532x = 503,190 × 503,190
  4. Step 4: Simplify right side
    344,532x = 253,200,176,100
  5. Step 5: Solve for x
    x = 253,200,176,100/344,532
  6. Step 6: Final answer
    x = 734,910.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.