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Finding the Third Proportional to 533,724.19 and 825,531.75

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Solution

The third proportional to 533,724.19 and 825,531.75 is: 1,276,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,724.19 : 825,531.75 = 825,531.75 : x
  2. Step 2: Convert to fraction form
    533,724.19/825,531.75 = 825,531.75/x
  3. Step 3: Cross multiply
    533,724.19x = 825,531.75 × 825,531.75
  4. Step 4: Simplify right side
    533,724.19x = 681,502,670,258.06
  5. Step 5: Solve for x
    x = 681,502,670,258.06/533,724.19
  6. Step 6: Final answer
    x = 1,276,881.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.