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Finding the Third Proportional to 326,771 and 707,823

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Solution

The third proportional to 326,771 and 707,823 is: 1,533,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,771 : 707,823 = 707,823 : x
  2. Step 2: Convert to fraction form
    326,771/707,823 = 707,823/x
  3. Step 3: Cross multiply
    326,771x = 707,823 × 707,823
  4. Step 4: Simplify right side
    326,771x = 501,013,399,329
  5. Step 5: Solve for x
    x = 501,013,399,329/326,771
  6. Step 6: Final answer
    x = 1,533,224.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.