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Finding the Third Proportional to 384,661.13 and 837,048.38

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Solution

The third proportional to 384,661.13 and 837,048.38 is: 1,821,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,661.13 : 837,048.38 = 837,048.38 : x
  2. Step 2: Convert to fraction form
    384,661.13/837,048.38 = 837,048.38/x
  3. Step 3: Cross multiply
    384,661.13x = 837,048.38 × 837,048.38
  4. Step 4: Simplify right side
    384,661.13x = 700,649,982,090.14
  5. Step 5: Solve for x
    x = 700,649,982,090.14/384,661.13
  6. Step 6: Final answer
    x = 1,821,473.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.