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Finding the Third Proportional to 379,293.19 and 806,857.88

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Solution

The third proportional to 379,293.19 and 806,857.88 is: 1,716,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,293.19 : 806,857.88 = 806,857.88 : x
  2. Step 2: Convert to fraction form
    379,293.19/806,857.88 = 806,857.88/x
  3. Step 3: Cross multiply
    379,293.19x = 806,857.88 × 806,857.88
  4. Step 4: Simplify right side
    379,293.19x = 651,019,630,449.52
  5. Step 5: Solve for x
    x = 651,019,630,449.52/379,293.19
  6. Step 6: Final answer
    x = 1,716,402.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.