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Finding the Third Proportional to 328,765 and 706,692

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Solution

The third proportional to 328,765 and 706,692 is: 1,519,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,765 : 706,692 = 706,692 : x
  2. Step 2: Convert to fraction form
    328,765/706,692 = 706,692/x
  3. Step 3: Cross multiply
    328,765x = 706,692 × 706,692
  4. Step 4: Simplify right side
    328,765x = 499,413,582,864
  5. Step 5: Solve for x
    x = 499,413,582,864/328,765
  6. Step 6: Final answer
    x = 1,519,059.46

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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.