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Finding the Third Proportional to 280,759,796 and 605,911,476

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Solution

The third proportional to 280,759,796 and 605,911,476 is: 1,307,625,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,796 : 605,911,476 = 605,911,476 : x
  2. Step 2: Convert to fraction form
    280,759,796/605,911,476 = 605,911,476/x
  3. Step 3: Cross multiply
    280,759,796x = 605,911,476 × 605,911,476
  4. Step 4: Simplify right side
    280,759,796x = 367,128,716,748,498,560
  5. Step 5: Solve for x
    x = 367,128,716,748,498,560/280,759,796
  6. Step 6: Final answer
    x = 1,307,625,671.41

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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.