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Finding the Third Proportional to 281,526 and 619,098

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Solution

The third proportional to 281,526 and 619,098 is: 1,361,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,526 : 619,098 = 619,098 : x
  2. Step 2: Convert to fraction form
    281,526/619,098 = 619,098/x
  3. Step 3: Cross multiply
    281,526x = 619,098 × 619,098
  4. Step 4: Simplify right side
    281,526x = 383,282,333,604
  5. Step 5: Solve for x
    x = 383,282,333,604/281,526
  6. Step 6: Final answer
    x = 1,361,445.60

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