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Finding the Third Proportional to 533,272.50 and 1,258,821

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Solution

The third proportional to 533,272.50 and 1,258,821 is: 2,971,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,272.50 : 1,258,821 = 1,258,821 : x
  2. Step 2: Convert to fraction form
    533,272.50/1,258,821 = 1,258,821/x
  3. Step 3: Cross multiply
    533,272.50x = 1,258,821 × 1,258,821
  4. Step 4: Simplify right side
    533,272.50x = 1,584,630,310,041
  5. Step 5: Solve for x
    x = 1,584,630,310,041/533,272.50
  6. Step 6: Final answer
    x = 2,971,520.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.