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Finding the Third Proportional to 337,298 and 504,123

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Solution

The third proportional to 337,298 and 504,123 is: 753,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,298 : 504,123 = 504,123 : x
  2. Step 2: Convert to fraction form
    337,298/504,123 = 504,123/x
  3. Step 3: Cross multiply
    337,298x = 504,123 × 504,123
  4. Step 4: Simplify right side
    337,298x = 254,139,999,129
  5. Step 5: Solve for x
    x = 254,139,999,129/337,298
  6. Step 6: Final answer
    x = 753,458.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.