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Finding the Third Proportional to 202,302 and 443,304

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Solution

The third proportional to 202,302 and 443,304 is: 971,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302 : 443,304 = 443,304 : x
  2. Step 2: Convert to fraction form
    202,302/443,304 = 443,304/x
  3. Step 3: Cross multiply
    202,302x = 443,304 × 443,304
  4. Step 4: Simplify right side
    202,302x = 196,518,436,416
  5. Step 5: Solve for x
    x = 196,518,436,416/202,302
  6. Step 6: Final answer
    x = 971,411.24

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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.