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Finding the Third Proportional to 356,738.50 and 489,177.50

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Solution

The third proportional to 356,738.50 and 489,177.50 is: 670,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,738.50 : 489,177.50 = 489,177.50 : x
  2. Step 2: Convert to fraction form
    356,738.50/489,177.50 = 489,177.50/x
  3. Step 3: Cross multiply
    356,738.50x = 489,177.50 × 489,177.50
  4. Step 4: Simplify right side
    356,738.50x = 239,294,626,506.25
  5. Step 5: Solve for x
    x = 239,294,626,506.25/356,738.50
  6. Step 6: Final answer
    x = 670,784.42

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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.