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Finding the Third Proportional to 280,314,400 and 603,760,355

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Solution

The third proportional to 280,314,400 and 603,760,355 is: 1,300,420,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,314,400 : 603,760,355 = 603,760,355 : x
  2. Step 2: Convert to fraction form
    280,314,400/603,760,355 = 603,760,355/x
  3. Step 3: Cross multiply
    280,314,400x = 603,760,355 × 603,760,355
  4. Step 4: Simplify right side
    280,314,400x = 364,526,566,269,726,016
  5. Step 5: Solve for x
    x = 364,526,566,269,726,016/280,314,400
  6. Step 6: Final answer
    x = 1,300,420,407.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.