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Finding the Third Proportional to 328,832 and 706,615

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Solution

The third proportional to 328,832 and 706,615 is: 1,518,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,832 : 706,615 = 706,615 : x
  2. Step 2: Convert to fraction form
    328,832/706,615 = 706,615/x
  3. Step 3: Cross multiply
    328,832x = 706,615 × 706,615
  4. Step 4: Simplify right side
    328,832x = 499,304,758,225
  5. Step 5: Solve for x
    x = 499,304,758,225/328,832
  6. Step 6: Final answer
    x = 1,518,419.00

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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.