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Finding the Third Proportional to 280,375,462 and 613,605,692

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Solution

The third proportional to 280,375,462 and 613,605,692 is: 1,342,884,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,375,462 : 613,605,692 = 613,605,692 : x
  2. Step 2: Convert to fraction form
    280,375,462/613,605,692 = 613,605,692/x
  3. Step 3: Cross multiply
    280,375,462x = 613,605,692 × 613,605,692
  4. Step 4: Simplify right side
    280,375,462x = 376,511,945,254,798,848
  5. Step 5: Solve for x
    x = 376,511,945,254,798,848/280,375,462
  6. Step 6: Final answer
    x = 1,342,884,796.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.