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Finding the Third Proportional to 452,571.75 and 623,421.56

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Solution

The third proportional to 452,571.75 and 623,421.56 is: 858,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,571.75 : 623,421.56 = 623,421.56 : x
  2. Step 2: Convert to fraction form
    452,571.75/623,421.56 = 623,421.56/x
  3. Step 3: Cross multiply
    452,571.75x = 623,421.56 × 623,421.56
  4. Step 4: Simplify right side
    452,571.75x = 388,654,444,589.94
  5. Step 5: Solve for x
    x = 388,654,444,589.94/452,571.75
  6. Step 6: Final answer
    x = 858,768.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.