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Finding the Third Proportional to 533,733.75 and 825,534

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Solution

The third proportional to 533,733.75 and 825,534 is: 1,276,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,733.75 : 825,534 = 825,534 : x
  2. Step 2: Convert to fraction form
    533,733.75/825,534 = 825,534/x
  3. Step 3: Cross multiply
    533,733.75x = 825,534 × 825,534
  4. Step 4: Simplify right side
    533,733.75x = 681,506,385,156
  5. Step 5: Solve for x
    x = 681,506,385,156/533,733.75
  6. Step 6: Final answer
    x = 1,276,865.83

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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.