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Finding the Third Proportional to 280,524 and 444,559.50

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Solution

The third proportional to 280,524 and 444,559.50 is: 704,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,524 : 444,559.50 = 444,559.50 : x
  2. Step 2: Convert to fraction form
    280,524/444,559.50 = 444,559.50/x
  3. Step 3: Cross multiply
    280,524x = 444,559.50 × 444,559.50
  4. Step 4: Simplify right side
    280,524x = 197,633,149,040.25
  5. Step 5: Solve for x
    x = 197,633,149,040.25/280,524
  6. Step 6: Final answer
    x = 704,514.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.