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Finding the Third Proportional to 389,382.75 and 523,815.75

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Solution

The third proportional to 389,382.75 and 523,815.75 is: 704,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,382.75 : 523,815.75 = 523,815.75 : x
  2. Step 2: Convert to fraction form
    389,382.75/523,815.75 = 523,815.75/x
  3. Step 3: Cross multiply
    389,382.75x = 523,815.75 × 523,815.75
  4. Step 4: Simplify right side
    389,382.75x = 274,382,939,948.06
  5. Step 5: Solve for x
    x = 274,382,939,948.06/389,382.75
  6. Step 6: Final answer
    x = 704,661.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.