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Finding the Third Proportional to 384,639.75 and 837,009

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Solution

The third proportional to 384,639.75 and 837,009 is: 1,821,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,639.75 : 837,009 = 837,009 : x
  2. Step 2: Convert to fraction form
    384,639.75/837,009 = 837,009/x
  3. Step 3: Cross multiply
    384,639.75x = 837,009 × 837,009
  4. Step 4: Simplify right side
    384,639.75x = 700,584,066,081
  5. Step 5: Solve for x
    x = 700,584,066,081/384,639.75
  6. Step 6: Final answer
    x = 1,821,403.19

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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.