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Finding the Third Proportional to 322,004 and 706,216

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Solution

The third proportional to 322,004 and 706,216 is: 1,548,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,004 : 706,216 = 706,216 : x
  2. Step 2: Convert to fraction form
    322,004/706,216 = 706,216/x
  3. Step 3: Cross multiply
    322,004x = 706,216 × 706,216
  4. Step 4: Simplify right side
    322,004x = 498,741,038,656
  5. Step 5: Solve for x
    x = 498,741,038,656/322,004
  6. Step 6: Final answer
    x = 1,548,865.97

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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.