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Finding the Third Proportional to 194,305 and 458,024

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Solution

The third proportional to 194,305 and 458,024 is: 1,079,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,305 : 458,024 = 458,024 : x
  2. Step 2: Convert to fraction form
    194,305/458,024 = 458,024/x
  3. Step 3: Cross multiply
    194,305x = 458,024 × 458,024
  4. Step 4: Simplify right side
    194,305x = 209,785,984,576
  5. Step 5: Solve for x
    x = 209,785,984,576/194,305
  6. Step 6: Final answer
    x = 1,079,673.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.