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Finding the Third Proportional to 356,739 and 489,180.50

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Solution

The third proportional to 356,739 and 489,180.50 is: 670,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,739 : 489,180.50 = 489,180.50 : x
  2. Step 2: Convert to fraction form
    356,739/489,180.50 = 489,180.50/x
  3. Step 3: Cross multiply
    356,739x = 489,180.50 × 489,180.50
  4. Step 4: Simplify right side
    356,739x = 239,297,561,580.25
  5. Step 5: Solve for x
    x = 239,297,561,580.25/356,739
  6. Step 6: Final answer
    x = 670,791.70

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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.