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Finding the Third Proportional to 371,714 and 818,452

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Solution

The third proportional to 371,714 and 818,452 is: 1,802,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,714 : 818,452 = 818,452 : x
  2. Step 2: Convert to fraction form
    371,714/818,452 = 818,452/x
  3. Step 3: Cross multiply
    371,714x = 818,452 × 818,452
  4. Step 4: Simplify right side
    371,714x = 669,863,676,304
  5. Step 5: Solve for x
    x = 669,863,676,304/371,714
  6. Step 6: Final answer
    x = 1,802,094.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.