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Finding the Third Proportional to 280,759,648 and 605,911,205

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Solution

The third proportional to 280,759,648 and 605,911,205 is: 1,307,625,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,648 : 605,911,205 = 605,911,205 : x
  2. Step 2: Convert to fraction form
    280,759,648/605,911,205 = 605,911,205/x
  3. Step 3: Cross multiply
    280,759,648x = 605,911,205 × 605,911,205
  4. Step 4: Simplify right side
    280,759,648x = 367,128,388,344,552,000
  5. Step 5: Solve for x
    x = 367,128,388,344,552,000/280,759,648
  6. Step 6: Final answer
    x = 1,307,625,191.01

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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.