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Finding the Third Proportional to 300,458,608 and 633,197,328

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Solution

The third proportional to 300,458,608 and 633,197,328 is: 1,334,422,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,458,608 : 633,197,328 = 633,197,328 : x
  2. Step 2: Convert to fraction form
    300,458,608/633,197,328 = 633,197,328/x
  3. Step 3: Cross multiply
    300,458,608x = 633,197,328 × 633,197,328
  4. Step 4: Simplify right side
    300,458,608x = 400,938,856,186,339,584
  5. Step 5: Solve for x
    x = 400,938,856,186,339,584/300,458,608
  6. Step 6: Final answer
    x = 1,334,422,930.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.