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Finding the Third Proportional to 322,216 and 706,404

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Solution

The third proportional to 322,216 and 706,404 is: 1,548,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,216 : 706,404 = 706,404 : x
  2. Step 2: Convert to fraction form
    322,216/706,404 = 706,404/x
  3. Step 3: Cross multiply
    322,216x = 706,404 × 706,404
  4. Step 4: Simplify right side
    322,216x = 499,006,611,216
  5. Step 5: Solve for x
    x = 499,006,611,216/322,216
  6. Step 6: Final answer
    x = 1,548,671.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.