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Finding the Third Proportional to 337,296 and 508,158

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Solution

The third proportional to 337,296 and 508,158 is: 765,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,296 : 508,158 = 508,158 : x
  2. Step 2: Convert to fraction form
    337,296/508,158 = 508,158/x
  3. Step 3: Cross multiply
    337,296x = 508,158 × 508,158
  4. Step 4: Simplify right side
    337,296x = 258,224,552,964
  5. Step 5: Solve for x
    x = 258,224,552,964/337,296
  6. Step 6: Final answer
    x = 765,572.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.