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Finding the Third Proportional to 326,014 and 706,288

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Solution

The third proportional to 326,014 and 706,288 is: 1,530,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,014 : 706,288 = 706,288 : x
  2. Step 2: Convert to fraction form
    326,014/706,288 = 706,288/x
  3. Step 3: Cross multiply
    326,014x = 706,288 × 706,288
  4. Step 4: Simplify right side
    326,014x = 498,842,738,944
  5. Step 5: Solve for x
    x = 498,842,738,944/326,014
  6. Step 6: Final answer
    x = 1,530,126.74

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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.