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Finding the Third Proportional to 202,954 and 440,492

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Solution

The third proportional to 202,954 and 440,492 is: 956,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,954 : 440,492 = 440,492 : x
  2. Step 2: Convert to fraction form
    202,954/440,492 = 440,492/x
  3. Step 3: Cross multiply
    202,954x = 440,492 × 440,492
  4. Step 4: Simplify right side
    202,954x = 194,033,202,064
  5. Step 5: Solve for x
    x = 194,033,202,064/202,954
  6. Step 6: Final answer
    x = 956,045.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.