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Finding the Third Proportional to 344,530 and 503,187

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Solution

The third proportional to 344,530 and 503,187 is: 734,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,530 : 503,187 = 503,187 : x
  2. Step 2: Convert to fraction form
    344,530/503,187 = 503,187/x
  3. Step 3: Cross multiply
    344,530x = 503,187 × 503,187
  4. Step 4: Simplify right side
    344,530x = 253,197,156,969
  5. Step 5: Solve for x
    x = 253,197,156,969/344,530
  6. Step 6: Final answer
    x = 734,905.98

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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.