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Finding the Third Proportional to 329,791.50 and 706,239

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Solution

The third proportional to 329,791.50 and 706,239 is: 1,512,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,791.50 : 706,239 = 706,239 : x
  2. Step 2: Convert to fraction form
    329,791.50/706,239 = 706,239/x
  3. Step 3: Cross multiply
    329,791.50x = 706,239 × 706,239
  4. Step 4: Simplify right side
    329,791.50x = 498,773,525,121
  5. Step 5: Solve for x
    x = 498,773,525,121/329,791.50
  6. Step 6: Final answer
    x = 1,512,390.48

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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.