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Finding the Third Proportional to 310,090 and 667,684

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Solution

The third proportional to 310,090 and 667,684 is: 1,437,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,090 : 667,684 = 667,684 : x
  2. Step 2: Convert to fraction form
    310,090/667,684 = 667,684/x
  3. Step 3: Cross multiply
    310,090x = 667,684 × 667,684
  4. Step 4: Simplify right side
    310,090x = 445,801,923,856
  5. Step 5: Solve for x
    x = 445,801,923,856/310,090
  6. Step 6: Final answer
    x = 1,437,653.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.