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Finding the Third Proportional to 310,906 and 664,462

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Solution

The third proportional to 310,906 and 664,462 is: 1,420,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,906 : 664,462 = 664,462 : x
  2. Step 2: Convert to fraction form
    310,906/664,462 = 664,462/x
  3. Step 3: Cross multiply
    310,906x = 664,462 × 664,462
  4. Step 4: Simplify right side
    310,906x = 441,509,749,444
  5. Step 5: Solve for x
    x = 441,509,749,444/310,906
  6. Step 6: Final answer
    x = 1,420,074.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.