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Finding the Third Proportional to 329,814 and 706,268

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Solution

The third proportional to 329,814 and 706,268 is: 1,512,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,814 : 706,268 = 706,268 : x
  2. Step 2: Convert to fraction form
    329,814/706,268 = 706,268/x
  3. Step 3: Cross multiply
    329,814x = 706,268 × 706,268
  4. Step 4: Simplify right side
    329,814x = 498,814,487,824
  5. Step 5: Solve for x
    x = 498,814,487,824/329,814
  6. Step 6: Final answer
    x = 1,512,411.50

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Why These Related Problems?

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