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Finding the Third Proportional to 451,953.75 and 619,728.75

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Solution

The third proportional to 451,953.75 and 619,728.75 is: 849,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,953.75 : 619,728.75 = 619,728.75 : x
  2. Step 2: Convert to fraction form
    451,953.75/619,728.75 = 619,728.75/x
  3. Step 3: Cross multiply
    451,953.75x = 619,728.75 × 619,728.75
  4. Step 4: Simplify right side
    451,953.75x = 384,063,723,576.56
  5. Step 5: Solve for x
    x = 384,063,723,576.56/451,953.75
  6. Step 6: Final answer
    x = 849,785.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.