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Finding the Third Proportional to 489,759.75 and 717,872.63

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Solution

The third proportional to 489,759.75 and 717,872.63 is: 1,052,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,759.75 : 717,872.63 = 717,872.63 : x
  2. Step 2: Convert to fraction form
    489,759.75/717,872.63 = 717,872.63/x
  3. Step 3: Cross multiply
    489,759.75x = 717,872.63 × 717,872.63
  4. Step 4: Simplify right side
    489,759.75x = 515,341,105,724.39
  5. Step 5: Solve for x
    x = 515,341,105,724.39/489,759.75
  6. Step 6: Final answer
    x = 1,052,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.