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Finding the Third Proportional to 366,960 and 803,856

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Solution

The third proportional to 366,960 and 803,856 is: 1,760,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 803,856 = 803,856 : x
  2. Step 2: Convert to fraction form
    366,960/803,856 = 803,856/x
  3. Step 3: Cross multiply
    366,960x = 803,856 × 803,856
  4. Step 4: Simplify right side
    366,960x = 646,184,468,736
  5. Step 5: Solve for x
    x = 646,184,468,736/366,960
  6. Step 6: Final answer
    x = 1,760,912.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.