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Finding the Third Proportional to 315,535.50 and 489,510

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Solution

The third proportional to 315,535.50 and 489,510 is: 759,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,535.50 : 489,510 = 489,510 : x
  2. Step 2: Convert to fraction form
    315,535.50/489,510 = 489,510/x
  3. Step 3: Cross multiply
    315,535.50x = 489,510 × 489,510
  4. Step 4: Simplify right side
    315,535.50x = 239,620,040,100
  5. Step 5: Solve for x
    x = 239,620,040,100/315,535.50
  6. Step 6: Final answer
    x = 759,407.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.