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Finding the Third Proportional to 322,318 and 700,004

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Solution

The third proportional to 322,318 and 700,004 is: 1,520,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,318 : 700,004 = 700,004 : x
  2. Step 2: Convert to fraction form
    322,318/700,004 = 700,004/x
  3. Step 3: Cross multiply
    322,318x = 700,004 × 700,004
  4. Step 4: Simplify right side
    322,318x = 490,005,600,016
  5. Step 5: Solve for x
    x = 490,005,600,016/322,318
  6. Step 6: Final answer
    x = 1,520,255.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.