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Finding the Third Proportional to 533,006 and 870,258.75

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Solution

The third proportional to 533,006 and 870,258.75 is: 1,420,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,006 : 870,258.75 = 870,258.75 : x
  2. Step 2: Convert to fraction form
    533,006/870,258.75 = 870,258.75/x
  3. Step 3: Cross multiply
    533,006x = 870,258.75 × 870,258.75
  4. Step 4: Simplify right side
    533,006x = 757,350,291,951.56
  5. Step 5: Solve for x
    x = 757,350,291,951.56/533,006
  6. Step 6: Final answer
    x = 1,420,903.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.