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Finding the Third Proportional to 377,504 and 825,016

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Solution

The third proportional to 377,504 and 825,016 is: 1,803,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,504 : 825,016 = 825,016 : x
  2. Step 2: Convert to fraction form
    377,504/825,016 = 825,016/x
  3. Step 3: Cross multiply
    377,504x = 825,016 × 825,016
  4. Step 4: Simplify right side
    377,504x = 680,651,400,256
  5. Step 5: Solve for x
    x = 680,651,400,256/377,504
  6. Step 6: Final answer
    x = 1,803,030.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.