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Finding the Third Proportional to 469,670 and 706,665

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Solution

The third proportional to 469,670 and 706,665 is: 1,063,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,670 : 706,665 = 706,665 : x
  2. Step 2: Convert to fraction form
    469,670/706,665 = 706,665/x
  3. Step 3: Cross multiply
    469,670x = 706,665 × 706,665
  4. Step 4: Simplify right side
    469,670x = 499,375,422,225
  5. Step 5: Solve for x
    x = 499,375,422,225/469,670
  6. Step 6: Final answer
    x = 1,063,247.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.