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Finding the Third Proportional to 350,348.63 and 523,698.75

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Solution

The third proportional to 350,348.63 and 523,698.75 is: 782,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,348.63 : 523,698.75 = 523,698.75 : x
  2. Step 2: Convert to fraction form
    350,348.63/523,698.75 = 523,698.75/x
  3. Step 3: Cross multiply
    350,348.63x = 523,698.75 × 523,698.75
  4. Step 4: Simplify right side
    350,348.63x = 274,260,380,751.56
  5. Step 5: Solve for x
    x = 274,260,380,751.56/350,348.63
  6. Step 6: Final answer
    x = 782,821.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.