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Finding the Third Proportional to 288,801.75 and 433,203

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Solution

The third proportional to 288,801.75 and 433,203 is: 649,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,801.75 : 433,203 = 433,203 : x
  2. Step 2: Convert to fraction form
    288,801.75/433,203 = 433,203/x
  3. Step 3: Cross multiply
    288,801.75x = 433,203 × 433,203
  4. Step 4: Simplify right side
    288,801.75x = 187,664,839,209
  5. Step 5: Solve for x
    x = 187,664,839,209/288,801.75
  6. Step 6: Final answer
    x = 649,805.06

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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.