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Finding the Third Proportional to 344,472 and 503,097

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Solution

The third proportional to 344,472 and 503,097 is: 734,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,472 : 503,097 = 503,097 : x
  2. Step 2: Convert to fraction form
    344,472/503,097 = 503,097/x
  3. Step 3: Cross multiply
    344,472x = 503,097 × 503,097
  4. Step 4: Simplify right side
    344,472x = 253,106,591,409
  5. Step 5: Solve for x
    x = 253,106,591,409/344,472
  6. Step 6: Final answer
    x = 734,766.81

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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.