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Finding the Third Proportional to 275,280 and 583,608.75

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Solution

The third proportional to 275,280 and 583,608.75 is: 1,237,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 583,608.75 = 583,608.75 : x
  2. Step 2: Convert to fraction form
    275,280/583,608.75 = 583,608.75/x
  3. Step 3: Cross multiply
    275,280x = 583,608.75 × 583,608.75
  4. Step 4: Simplify right side
    275,280x = 340,599,173,076.56
  5. Step 5: Solve for x
    x = 340,599,173,076.56/275,280
  6. Step 6: Final answer
    x = 1,237,282.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.