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Finding the Third Proportional to 384,664.88 and 837,055.50

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Solution

The third proportional to 384,664.88 and 837,055.50 is: 1,821,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,664.88 : 837,055.50 = 837,055.50 : x
  2. Step 2: Convert to fraction form
    384,664.88/837,055.50 = 837,055.50/x
  3. Step 3: Cross multiply
    384,664.88x = 837,055.50 × 837,055.50
  4. Step 4: Simplify right side
    384,664.88x = 700,661,910,080.25
  5. Step 5: Solve for x
    x = 700,661,910,080.25/384,664.88
  6. Step 6: Final answer
    x = 1,821,486.59

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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.