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Finding the Third Proportional to 304,441.50 and 489,184.50

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Solution

The third proportional to 304,441.50 and 489,184.50 is: 786,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,441.50 : 489,184.50 = 489,184.50 : x
  2. Step 2: Convert to fraction form
    304,441.50/489,184.50 = 489,184.50/x
  3. Step 3: Cross multiply
    304,441.50x = 489,184.50 × 489,184.50
  4. Step 4: Simplify right side
    304,441.50x = 239,301,475,040.25
  5. Step 5: Solve for x
    x = 239,301,475,040.25/304,441.50
  6. Step 6: Final answer
    x = 786,034.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.