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Finding the Third Proportional to 322,939.50 and 504,031

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Solution

The third proportional to 322,939.50 and 504,031 is: 786,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,939.50 : 504,031 = 504,031 : x
  2. Step 2: Convert to fraction form
    322,939.50/504,031 = 504,031/x
  3. Step 3: Cross multiply
    322,939.50x = 504,031 × 504,031
  4. Step 4: Simplify right side
    322,939.50x = 254,047,248,961
  5. Step 5: Solve for x
    x = 254,047,248,961/322,939.50
  6. Step 6: Final answer
    x = 786,671.34

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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.