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Finding the Third Proportional to 331,506 and 706,266

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Solution

The third proportional to 331,506 and 706,266 is: 1,504,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,506 : 706,266 = 706,266 : x
  2. Step 2: Convert to fraction form
    331,506/706,266 = 706,266/x
  3. Step 3: Cross multiply
    331,506x = 706,266 × 706,266
  4. Step 4: Simplify right side
    331,506x = 498,811,662,756
  5. Step 5: Solve for x
    x = 498,811,662,756/331,506
  6. Step 6: Final answer
    x = 1,504,683.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.