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Finding the Third Proportional to 489,858,232.50 and 758,480,760

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Solution

The third proportional to 489,858,232.50 and 758,480,760 is: 1,174,407,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,858,232.50 : 758,480,760 = 758,480,760 : x
  2. Step 2: Convert to fraction form
    489,858,232.50/758,480,760 = 758,480,760/x
  3. Step 3: Cross multiply
    489,858,232.50x = 758,480,760 × 758,480,760
  4. Step 4: Simplify right side
    489,858,232.50x = 575,293,063,290,177,600
  5. Step 5: Solve for x
    x = 575,293,063,290,177,600/489,858,232.50
  6. Step 6: Final answer
    x = 1,174,407,257.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.