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Finding the Third Proportional to 202,392 and 443,664

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Solution

The third proportional to 202,392 and 443,664 is: 972,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,392 : 443,664 = 443,664 : x
  2. Step 2: Convert to fraction form
    202,392/443,664 = 443,664/x
  3. Step 3: Cross multiply
    202,392x = 443,664 × 443,664
  4. Step 4: Simplify right side
    202,392x = 196,837,744,896
  5. Step 5: Solve for x
    x = 196,837,744,896/202,392
  6. Step 6: Final answer
    x = 972,556.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.