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Finding the Third Proportional to 280,834 and 618,596

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Solution

The third proportional to 280,834 and 618,596 is: 1,362,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,834 : 618,596 = 618,596 : x
  2. Step 2: Convert to fraction form
    280,834/618,596 = 618,596/x
  3. Step 3: Cross multiply
    280,834x = 618,596 × 618,596
  4. Step 4: Simplify right side
    280,834x = 382,661,011,216
  5. Step 5: Solve for x
    x = 382,661,011,216/280,834
  6. Step 6: Final answer
    x = 1,362,587.90

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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.