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Finding the Third Proportional to 353,092.50 and 522,771.75

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Solution

The third proportional to 353,092.50 and 522,771.75 is: 773,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,092.50 : 522,771.75 = 522,771.75 : x
  2. Step 2: Convert to fraction form
    353,092.50/522,771.75 = 522,771.75/x
  3. Step 3: Cross multiply
    353,092.50x = 522,771.75 × 522,771.75
  4. Step 4: Simplify right side
    353,092.50x = 273,290,302,598.06
  5. Step 5: Solve for x
    x = 273,290,302,598.06/353,092.50
  6. Step 6: Final answer
    x = 773,990.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.