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Finding the Third Proportional to 294,625.69 and 441,452.53

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Solution

The third proportional to 294,625.69 and 441,452.53 is: 661,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,625.69 : 441,452.53 = 441,452.53 : x
  2. Step 2: Convert to fraction form
    294,625.69/441,452.53 = 441,452.53/x
  3. Step 3: Cross multiply
    294,625.69x = 441,452.53 × 441,452.53
  4. Step 4: Simplify right side
    294,625.69x = 194,880,337,347.03
  5. Step 5: Solve for x
    x = 194,880,337,347.03/294,625.69
  6. Step 6: Final answer
    x = 661,450.60

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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.