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Finding the Third Proportional to 329,816 and 706,272

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Solution

The third proportional to 329,816 and 706,272 is: 1,512,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,816 : 706,272 = 706,272 : x
  2. Step 2: Convert to fraction form
    329,816/706,272 = 706,272/x
  3. Step 3: Cross multiply
    329,816x = 706,272 × 706,272
  4. Step 4: Simplify right side
    329,816x = 498,820,137,984
  5. Step 5: Solve for x
    x = 498,820,137,984/329,816
  6. Step 6: Final answer
    x = 1,512,419.46

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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.