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Finding the Third Proportional to 202,566 and 441,578

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Solution

The third proportional to 202,566 and 441,578 is: 962,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,566 : 441,578 = 441,578 : x
  2. Step 2: Convert to fraction form
    202,566/441,578 = 441,578/x
  3. Step 3: Cross multiply
    202,566x = 441,578 × 441,578
  4. Step 4: Simplify right side
    202,566x = 194,991,130,084
  5. Step 5: Solve for x
    x = 194,991,130,084/202,566
  6. Step 6: Final answer
    x = 962,605.42

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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.