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Finding the Third Proportional to 344,458 and 503,077

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Solution

The third proportional to 344,458 and 503,077 is: 734,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,458 : 503,077 = 503,077 : x
  2. Step 2: Convert to fraction form
    344,458/503,077 = 503,077/x
  3. Step 3: Cross multiply
    344,458x = 503,077 × 503,077
  4. Step 4: Simplify right side
    344,458x = 253,086,467,929
  5. Step 5: Solve for x
    x = 253,086,467,929/344,458
  6. Step 6: Final answer
    x = 734,738.25

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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.