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Finding the Third Proportional to 240,912 and 523,329.75

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Solution

The third proportional to 240,912 and 523,329.75 is: 1,136,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,912 : 523,329.75 = 523,329.75 : x
  2. Step 2: Convert to fraction form
    240,912/523,329.75 = 523,329.75/x
  3. Step 3: Cross multiply
    240,912x = 523,329.75 × 523,329.75
  4. Step 4: Simplify right side
    240,912x = 273,874,027,235.06
  5. Step 5: Solve for x
    x = 273,874,027,235.06/240,912
  6. Step 6: Final answer
    x = 1,136,821.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.