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Finding the Third Proportional to 230,852 and 504,364

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Solution

The third proportional to 230,852 and 504,364 is: 1,101,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852 : 504,364 = 504,364 : x
  2. Step 2: Convert to fraction form
    230,852/504,364 = 504,364/x
  3. Step 3: Cross multiply
    230,852x = 504,364 × 504,364
  4. Step 4: Simplify right side
    230,852x = 254,383,044,496
  5. Step 5: Solve for x
    x = 254,383,044,496/230,852
  6. Step 6: Final answer
    x = 1,101,931.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.