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Finding the Third Proportional to 276,128 and 595,824.50

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Solution

The third proportional to 276,128 and 595,824.50 is: 1,285,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,128 : 595,824.50 = 595,824.50 : x
  2. Step 2: Convert to fraction form
    276,128/595,824.50 = 595,824.50/x
  3. Step 3: Cross multiply
    276,128x = 595,824.50 × 595,824.50
  4. Step 4: Simplify right side
    276,128x = 355,006,834,800.25
  5. Step 5: Solve for x
    x = 355,006,834,800.25/276,128
  6. Step 6: Final answer
    x = 1,285,660.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.