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Finding the Third Proportional to 530,599.50 and 1,145,226

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Solution

The third proportional to 530,599.50 and 1,145,226 is: 2,471,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,599.50 : 1,145,226 = 1,145,226 : x
  2. Step 2: Convert to fraction form
    530,599.50/1,145,226 = 1,145,226/x
  3. Step 3: Cross multiply
    530,599.50x = 1,145,226 × 1,145,226
  4. Step 4: Simplify right side
    530,599.50x = 1,311,542,591,076
  5. Step 5: Solve for x
    x = 1,311,542,591,076/530,599.50
  6. Step 6: Final answer
    x = 2,471,812.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.