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Finding the Third Proportional to 275,322.75 and 583,693.50

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Solution

The third proportional to 275,322.75 and 583,693.50 is: 1,237,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,322.75 : 583,693.50 = 583,693.50 : x
  2. Step 2: Convert to fraction form
    275,322.75/583,693.50 = 583,693.50/x
  3. Step 3: Cross multiply
    275,322.75x = 583,693.50 × 583,693.50
  4. Step 4: Simplify right side
    275,322.75x = 340,698,101,942.25
  5. Step 5: Solve for x
    x = 340,698,101,942.25/275,322.75
  6. Step 6: Final answer
    x = 1,237,449.87

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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.