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Finding the Third Proportional to 298,584,384 and 467,362,749

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Solution

The third proportional to 298,584,384 and 467,362,749 is: 731,545,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584,384 : 467,362,749 = 467,362,749 : x
  2. Step 2: Convert to fraction form
    298,584,384/467,362,749 = 467,362,749/x
  3. Step 3: Cross multiply
    298,584,384x = 467,362,749 × 467,362,749
  4. Step 4: Simplify right side
    298,584,384x = 218,427,939,152,836,992
  5. Step 5: Solve for x
    x = 218,427,939,152,836,992/298,584,384
  6. Step 6: Final answer
    x = 731,545,086.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.