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Finding the Third Proportional to 310,826 and 677,002

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Solution

The third proportional to 310,826 and 677,002 is: 1,474,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,826 : 677,002 = 677,002 : x
  2. Step 2: Convert to fraction form
    310,826/677,002 = 677,002/x
  3. Step 3: Cross multiply
    310,826x = 677,002 × 677,002
  4. Step 4: Simplify right side
    310,826x = 458,331,708,004
  5. Step 5: Solve for x
    x = 458,331,708,004/310,826
  6. Step 6: Final answer
    x = 1,474,560.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.