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Finding the Third Proportional to 281,494 and 436,522

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Solution

The third proportional to 281,494 and 436,522 is: 676,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,494 : 436,522 = 436,522 : x
  2. Step 2: Convert to fraction form
    281,494/436,522 = 436,522/x
  3. Step 3: Cross multiply
    281,494x = 436,522 × 436,522
  4. Step 4: Simplify right side
    281,494x = 190,551,456,484
  5. Step 5: Solve for x
    x = 190,551,456,484/281,494
  6. Step 6: Final answer
    x = 676,929.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.