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Finding the Third Proportional to 344,460 and 503,079

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Solution

The third proportional to 344,460 and 503,079 is: 734,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,460 : 503,079 = 503,079 : x
  2. Step 2: Convert to fraction form
    344,460/503,079 = 503,079/x
  3. Step 3: Cross multiply
    344,460x = 503,079 × 503,079
  4. Step 4: Simplify right side
    344,460x = 253,088,480,241
  5. Step 5: Solve for x
    x = 253,088,480,241/344,460
  6. Step 6: Final answer
    x = 734,739.83

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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.