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Finding the Third Proportional to 283,263,466.50 and 609,573,648

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Solution

The third proportional to 283,263,466.50 and 609,573,648 is: 1,311,782,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,263,466.50 : 609,573,648 = 609,573,648 : x
  2. Step 2: Convert to fraction form
    283,263,466.50/609,573,648 = 609,573,648/x
  3. Step 3: Cross multiply
    283,263,466.50x = 609,573,648 × 609,573,648
  4. Step 4: Simplify right side
    283,263,466.50x = 371,580,032,336,027,904
  5. Step 5: Solve for x
    x = 371,580,032,336,027,904/283,263,466.50
  6. Step 6: Final answer
    x = 1,311,782,408.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.