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Finding the Third Proportional to 323,703 and 473,823

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Solution

The third proportional to 323,703 and 473,823 is: 693,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,703 : 473,823 = 473,823 : x
  2. Step 2: Convert to fraction form
    323,703/473,823 = 473,823/x
  3. Step 3: Cross multiply
    323,703x = 473,823 × 473,823
  4. Step 4: Simplify right side
    323,703x = 224,508,235,329
  5. Step 5: Solve for x
    x = 224,508,235,329/323,703
  6. Step 6: Final answer
    x = 693,562.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.