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Finding the Third Proportional to 326,012 and 706,286

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Solution

The third proportional to 326,012 and 706,286 is: 1,530,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,012 : 706,286 = 706,286 : x
  2. Step 2: Convert to fraction form
    326,012/706,286 = 706,286/x
  3. Step 3: Cross multiply
    326,012x = 706,286 × 706,286
  4. Step 4: Simplify right side
    326,012x = 498,839,913,796
  5. Step 5: Solve for x
    x = 498,839,913,796/326,012
  6. Step 6: Final answer
    x = 1,530,127.46

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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.