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Finding the Third Proportional to 311,946 and 446,097

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Solution

The third proportional to 311,946 and 446,097 is: 637,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,946 : 446,097 = 446,097 : x
  2. Step 2: Convert to fraction form
    311,946/446,097 = 446,097/x
  3. Step 3: Cross multiply
    311,946x = 446,097 × 446,097
  4. Step 4: Simplify right side
    311,946x = 199,002,533,409
  5. Step 5: Solve for x
    x = 199,002,533,409/311,946
  6. Step 6: Final answer
    x = 637,939.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.