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Finding the Third Proportional to 329,476 and 723,104

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Solution

The third proportional to 329,476 and 723,104 is: 1,587,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,476 : 723,104 = 723,104 : x
  2. Step 2: Convert to fraction form
    329,476/723,104 = 723,104/x
  3. Step 3: Cross multiply
    329,476x = 723,104 × 723,104
  4. Step 4: Simplify right side
    329,476x = 522,879,394,816
  5. Step 5: Solve for x
    x = 522,879,394,816/329,476
  6. Step 6: Final answer
    x = 1,587,002.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.