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Finding the Third Proportional to 326,869 and 705,339

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Solution

The third proportional to 326,869 and 705,339 is: 1,522,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,869 : 705,339 = 705,339 : x
  2. Step 2: Convert to fraction form
    326,869/705,339 = 705,339/x
  3. Step 3: Cross multiply
    326,869x = 705,339 × 705,339
  4. Step 4: Simplify right side
    326,869x = 497,503,104,921
  5. Step 5: Solve for x
    x = 497,503,104,921/326,869
  6. Step 6: Final answer
    x = 1,522,025.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.