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Finding the Third Proportional to 356,743 and 489,186.50

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Solution

The third proportional to 356,743 and 489,186.50 is: 670,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,743 : 489,186.50 = 489,186.50 : x
  2. Step 2: Convert to fraction form
    356,743/489,186.50 = 489,186.50/x
  3. Step 3: Cross multiply
    356,743x = 489,186.50 × 489,186.50
  4. Step 4: Simplify right side
    356,743x = 239,303,431,782.25
  5. Step 5: Solve for x
    x = 239,303,431,782.25/356,743
  6. Step 6: Final answer
    x = 670,800.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.