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Finding the Third Proportional to 276,696 and 420,784.88

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Solution

The third proportional to 276,696 and 420,784.88 is: 639,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,696 : 420,784.88 = 420,784.88 : x
  2. Step 2: Convert to fraction form
    276,696/420,784.88 = 420,784.88/x
  3. Step 3: Cross multiply
    276,696x = 420,784.88 × 420,784.88
  4. Step 4: Simplify right side
    276,696x = 177,059,911,028.77
  5. Step 5: Solve for x
    x = 177,059,911,028.77/276,696
  6. Step 6: Final answer
    x = 639,907.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.