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Finding the Third Proportional to 290,805.50 and 436,515

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Solution

The third proportional to 290,805.50 and 436,515 is: 655,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,805.50 : 436,515 = 436,515 : x
  2. Step 2: Convert to fraction form
    290,805.50/436,515 = 436,515/x
  3. Step 3: Cross multiply
    290,805.50x = 436,515 × 436,515
  4. Step 4: Simplify right side
    290,805.50x = 190,545,345,225
  5. Step 5: Solve for x
    x = 190,545,345,225/290,805.50
  6. Step 6: Final answer
    x = 655,232.95

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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.