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Finding the Third Proportional to 329,629 and 705,914

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Solution

The third proportional to 329,629 and 705,914 is: 1,511,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,629 : 705,914 = 705,914 : x
  2. Step 2: Convert to fraction form
    329,629/705,914 = 705,914/x
  3. Step 3: Cross multiply
    329,629x = 705,914 × 705,914
  4. Step 4: Simplify right side
    329,629x = 498,314,575,396
  5. Step 5: Solve for x
    x = 498,314,575,396/329,629
  6. Step 6: Final answer
    x = 1,511,743.73

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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.