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Finding the Third Proportional to 329,021 and 707,006

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Solution

The third proportional to 329,021 and 707,006 is: 1,519,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,021 : 707,006 = 707,006 : x
  2. Step 2: Convert to fraction form
    329,021/707,006 = 707,006/x
  3. Step 3: Cross multiply
    329,021x = 707,006 × 707,006
  4. Step 4: Simplify right side
    329,021x = 499,857,484,036
  5. Step 5: Solve for x
    x = 499,857,484,036/329,021
  6. Step 6: Final answer
    x = 1,519,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.