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Finding the Third Proportional to 273,102 and 559,321.50

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Solution

The third proportional to 273,102 and 559,321.50 is: 1,145,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,102 : 559,321.50 = 559,321.50 : x
  2. Step 2: Convert to fraction form
    273,102/559,321.50 = 559,321.50/x
  3. Step 3: Cross multiply
    273,102x = 559,321.50 × 559,321.50
  4. Step 4: Simplify right side
    273,102x = 312,840,540,362.25
  5. Step 5: Solve for x
    x = 312,840,540,362.25/273,102
  6. Step 6: Final answer
    x = 1,145,508.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.