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Finding the Third Proportional to 329,692.50 and 706,041

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Solution

The third proportional to 329,692.50 and 706,041 is: 1,511,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,692.50 : 706,041 = 706,041 : x
  2. Step 2: Convert to fraction form
    329,692.50/706,041 = 706,041/x
  3. Step 3: Cross multiply
    329,692.50x = 706,041 × 706,041
  4. Step 4: Simplify right side
    329,692.50x = 498,493,893,681
  5. Step 5: Solve for x
    x = 498,493,893,681/329,692.50
  6. Step 6: Final answer
    x = 1,511,996.46

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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.