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Finding the Third Proportional to 288,798.75 and 433,198.13

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Solution

The third proportional to 288,798.75 and 433,198.13 is: 649,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,798.75 : 433,198.13 = 433,198.13 : x
  2. Step 2: Convert to fraction form
    288,798.75/433,198.13 = 433,198.13/x
  3. Step 3: Cross multiply
    288,798.75x = 433,198.13 × 433,198.13
  4. Step 4: Simplify right side
    288,798.75x = 187,660,615,503.52
  5. Step 5: Solve for x
    x = 187,660,615,503.52/288,798.75
  6. Step 6: Final answer
    x = 649,797.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.