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Finding the Third Proportional to 273,271.50 and 413,718.75

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Solution

The third proportional to 273,271.50 and 413,718.75 is: 626,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,271.50 : 413,718.75 = 413,718.75 : x
  2. Step 2: Convert to fraction form
    273,271.50/413,718.75 = 413,718.75/x
  3. Step 3: Cross multiply
    273,271.50x = 413,718.75 × 413,718.75
  4. Step 4: Simplify right side
    273,271.50x = 171,163,204,101.56
  5. Step 5: Solve for x
    x = 171,163,204,101.56/273,271.50
  6. Step 6: Final answer
    x = 626,348.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.