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Finding the Third Proportional to 533,316.66 and 1,157,059.69

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Solution

The third proportional to 533,316.66 and 1,157,059.69 is: 2,510,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,316.66 : 1,157,059.69 = 1,157,059.69 : x
  2. Step 2: Convert to fraction form
    533,316.66/1,157,059.69 = 1,157,059.69/x
  3. Step 3: Cross multiply
    533,316.66x = 1,157,059.69 × 1,157,059.69
  4. Step 4: Simplify right side
    533,316.66x = 1,338,787,120,437.60
  5. Step 5: Solve for x
    x = 1,338,787,120,437.60/533,316.66
  6. Step 6: Final answer
    x = 2,510,304.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.