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Finding the Third Proportional to 342,951.50 and 489,204.50

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Solution

The third proportional to 342,951.50 and 489,204.50 is: 697,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,951.50 : 489,204.50 = 489,204.50 : x
  2. Step 2: Convert to fraction form
    342,951.50/489,204.50 = 489,204.50/x
  3. Step 3: Cross multiply
    342,951.50x = 489,204.50 × 489,204.50
  4. Step 4: Simplify right side
    342,951.50x = 239,321,042,820.25
  5. Step 5: Solve for x
    x = 239,321,042,820.25/342,951.50
  6. Step 6: Final answer
    x = 697,827.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.