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Finding the Third Proportional to 315,292.50 and 489,523.50

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Solution

The third proportional to 315,292.50 and 489,523.50 is: 760,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,292.50 : 489,523.50 = 489,523.50 : x
  2. Step 2: Convert to fraction form
    315,292.50/489,523.50 = 489,523.50/x
  3. Step 3: Cross multiply
    315,292.50x = 489,523.50 × 489,523.50
  4. Step 4: Simplify right side
    315,292.50x = 239,633,257,052.25
  5. Step 5: Solve for x
    x = 239,633,257,052.25/315,292.50
  6. Step 6: Final answer
    x = 760,034.75

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