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Finding the Third Proportional to 404,824,225 and 621,967,679

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Solution

The third proportional to 404,824,225 and 621,967,679 is: 955,584,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,824,225 : 621,967,679 = 621,967,679 : x
  2. Step 2: Convert to fraction form
    404,824,225/621,967,679 = 621,967,679/x
  3. Step 3: Cross multiply
    404,824,225x = 621,967,679 × 621,967,679
  4. Step 4: Simplify right side
    404,824,225x = 386,843,793,720,647,040
  5. Step 5: Solve for x
    x = 386,843,793,720,647,040/404,824,225
  6. Step 6: Final answer
    x = 955,584,596.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.