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Finding the Third Proportional to 264,412 and 397,202

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Solution

The third proportional to 264,412 and 397,202 is: 596,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,412 : 397,202 = 397,202 : x
  2. Step 2: Convert to fraction form
    264,412/397,202 = 397,202/x
  3. Step 3: Cross multiply
    264,412x = 397,202 × 397,202
  4. Step 4: Simplify right side
    264,412x = 157,769,428,804
  5. Step 5: Solve for x
    x = 157,769,428,804/264,412
  6. Step 6: Final answer
    x = 596,680.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.