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Finding the Third Proportional to 294,819.75 and 612,967.50

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Solution

The third proportional to 294,819.75 and 612,967.50 is: 1,274,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,819.75 : 612,967.50 = 612,967.50 : x
  2. Step 2: Convert to fraction form
    294,819.75/612,967.50 = 612,967.50/x
  3. Step 3: Cross multiply
    294,819.75x = 612,967.50 × 612,967.50
  4. Step 4: Simplify right side
    294,819.75x = 375,729,156,056.25
  5. Step 5: Solve for x
    x = 375,729,156,056.25/294,819.75
  6. Step 6: Final answer
    x = 1,274,436.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.