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Finding the Third Proportional to 654,288 and 984,709.50

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Solution

The third proportional to 654,288 and 984,709.50 is: 1,481,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,288 : 984,709.50 = 984,709.50 : x
  2. Step 2: Convert to fraction form
    654,288/984,709.50 = 984,709.50/x
  3. Step 3: Cross multiply
    654,288x = 984,709.50 × 984,709.50
  4. Step 4: Simplify right side
    654,288x = 969,652,799,390.25
  5. Step 5: Solve for x
    x = 969,652,799,390.25/654,288
  6. Step 6: Final answer
    x = 1,481,996.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.