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Finding the Third Proportional to 329,922 and 706,500

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Solution

The third proportional to 329,922 and 706,500 is: 1,512,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,922 : 706,500 = 706,500 : x
  2. Step 2: Convert to fraction form
    329,922/706,500 = 706,500/x
  3. Step 3: Cross multiply
    329,922x = 706,500 × 706,500
  4. Step 4: Simplify right side
    329,922x = 499,142,250,000
  5. Step 5: Solve for x
    x = 499,142,250,000/329,922
  6. Step 6: Final answer
    x = 1,512,909.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.