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Finding the Third Proportional to 401,246,647 and 565,043,698

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Solution

The third proportional to 401,246,647 and 565,043,698 is: 795,706,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,246,647 : 565,043,698 = 565,043,698 : x
  2. Step 2: Convert to fraction form
    401,246,647/565,043,698 = 565,043,698/x
  3. Step 3: Cross multiply
    401,246,647x = 565,043,698 × 565,043,698
  4. Step 4: Simplify right side
    401,246,647x = 319,274,380,649,515,200
  5. Step 5: Solve for x
    x = 319,274,380,649,515,200/401,246,647
  6. Step 6: Final answer
    x = 795,706,040.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.