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Finding the Third Proportional to 381,929.63 and 795,227.63

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Solution

The third proportional to 381,929.63 and 795,227.63 is: 1,655,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,929.63 : 795,227.63 = 795,227.63 : x
  2. Step 2: Convert to fraction form
    381,929.63/795,227.63 = 795,227.63/x
  3. Step 3: Cross multiply
    381,929.63x = 795,227.63 × 795,227.63
  4. Step 4: Simplify right side
    381,929.63x = 632,386,975,563.14
  5. Step 5: Solve for x
    x = 632,386,975,563.14/381,929.63
  6. Step 6: Final answer
    x = 1,655,768.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.