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Finding the Third Proportional to 322,950 and 504,045

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Solution

The third proportional to 322,950 and 504,045 is: 786,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,950 : 504,045 = 504,045 : x
  2. Step 2: Convert to fraction form
    322,950/504,045 = 504,045/x
  3. Step 3: Cross multiply
    322,950x = 504,045 × 504,045
  4. Step 4: Simplify right side
    322,950x = 254,061,362,025
  5. Step 5: Solve for x
    x = 254,061,362,025/322,950
  6. Step 6: Final answer
    x = 786,689.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.