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Finding the Third Proportional to 280,759,652 and 605,911,213

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Solution

The third proportional to 280,759,652 and 605,911,213 is: 1,307,625,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,652 : 605,911,213 = 605,911,213 : x
  2. Step 2: Convert to fraction form
    280,759,652/605,911,213 = 605,911,213/x
  3. Step 3: Cross multiply
    280,759,652x = 605,911,213 × 605,911,213
  4. Step 4: Simplify right side
    280,759,652x = 367,128,398,039,131,392
  5. Step 5: Solve for x
    x = 367,128,398,039,131,392/280,759,652
  6. Step 6: Final answer
    x = 1,307,625,206.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.