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Finding the Third Proportional to 312,016 and 673,844

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Solution

The third proportional to 312,016 and 673,844 is: 1,455,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,016 : 673,844 = 673,844 : x
  2. Step 2: Convert to fraction form
    312,016/673,844 = 673,844/x
  3. Step 3: Cross multiply
    312,016x = 673,844 × 673,844
  4. Step 4: Simplify right side
    312,016x = 454,065,736,336
  5. Step 5: Solve for x
    x = 454,065,736,336/312,016
  6. Step 6: Final answer
    x = 1,455,264.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.