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Finding the Third Proportional to 202,563 and 441,576

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Solution

The third proportional to 202,563 and 441,576 is: 962,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,563 : 441,576 = 441,576 : x
  2. Step 2: Convert to fraction form
    202,563/441,576 = 441,576/x
  3. Step 3: Cross multiply
    202,563x = 441,576 × 441,576
  4. Step 4: Simplify right side
    202,563x = 194,989,363,776
  5. Step 5: Solve for x
    x = 194,989,363,776/202,563
  6. Step 6: Final answer
    x = 962,610.96

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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.