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Finding the Third Proportional to 329,666 and 705,986

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Solution

The third proportional to 329,666 and 705,986 is: 1,511,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,666 : 705,986 = 705,986 : x
  2. Step 2: Convert to fraction form
    329,666/705,986 = 705,986/x
  3. Step 3: Cross multiply
    329,666x = 705,986 × 705,986
  4. Step 4: Simplify right side
    329,666x = 498,416,232,196
  5. Step 5: Solve for x
    x = 498,416,232,196/329,666
  6. Step 6: Final answer
    x = 1,511,882.43

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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.