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Finding the Third Proportional to 328,541 and 706,164

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Solution

The third proportional to 328,541 and 706,164 is: 1,517,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,541 : 706,164 = 706,164 : x
  2. Step 2: Convert to fraction form
    328,541/706,164 = 706,164/x
  3. Step 3: Cross multiply
    328,541x = 706,164 × 706,164
  4. Step 4: Simplify right side
    328,541x = 498,667,594,896
  5. Step 5: Solve for x
    x = 498,667,594,896/328,541
  6. Step 6: Final answer
    x = 1,517,824.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.