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Finding the Third Proportional to 280,314,398 and 603,760,351

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Solution

The third proportional to 280,314,398 and 603,760,351 is: 1,300,420,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,314,398 : 603,760,351 = 603,760,351 : x
  2. Step 2: Convert to fraction form
    280,314,398/603,760,351 = 603,760,351/x
  3. Step 3: Cross multiply
    280,314,398x = 603,760,351 × 603,760,351
  4. Step 4: Simplify right side
    280,314,398x = 364,526,561,439,643,200
  5. Step 5: Solve for x
    x = 364,526,561,439,643,200/280,314,398
  6. Step 6: Final answer
    x = 1,300,420,399.52

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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.