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Finding the Third Proportional to 326,099 and 706,480

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Solution

The third proportional to 326,099 and 706,480 is: 1,530,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,099 : 706,480 = 706,480 : x
  2. Step 2: Convert to fraction form
    326,099/706,480 = 706,480/x
  3. Step 3: Cross multiply
    326,099x = 706,480 × 706,480
  4. Step 4: Simplify right side
    326,099x = 499,113,990,400
  5. Step 5: Solve for x
    x = 499,113,990,400/326,099
  6. Step 6: Final answer
    x = 1,530,559.71

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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.