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Finding the Third Proportional to 280,922 and 619,107

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Solution

The third proportional to 280,922 and 619,107 is: 1,364,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,922 : 619,107 = 619,107 : x
  2. Step 2: Convert to fraction form
    280,922/619,107 = 619,107/x
  3. Step 3: Cross multiply
    280,922x = 619,107 × 619,107
  4. Step 4: Simplify right side
    280,922x = 383,293,477,449
  5. Step 5: Solve for x
    x = 383,293,477,449/280,922
  6. Step 6: Final answer
    x = 1,364,412.46

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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.