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Finding the Third Proportional to 275,269.50 and 583,587.75

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Solution

The third proportional to 275,269.50 and 583,587.75 is: 1,237,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,269.50 : 583,587.75 = 583,587.75 : x
  2. Step 2: Convert to fraction form
    275,269.50/583,587.75 = 583,587.75/x
  3. Step 3: Cross multiply
    275,269.50x = 583,587.75 × 583,587.75
  4. Step 4: Simplify right side
    275,269.50x = 340,574,661,950.06
  5. Step 5: Solve for x
    x = 340,574,661,950.06/275,269.50
  6. Step 6: Final answer
    x = 1,237,240.82

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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.