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Finding the Third Proportional to 328,267 and 714,049

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Solution

The third proportional to 328,267 and 714,049 is: 1,553,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,267 : 714,049 = 714,049 : x
  2. Step 2: Convert to fraction form
    328,267/714,049 = 714,049/x
  3. Step 3: Cross multiply
    328,267x = 714,049 × 714,049
  4. Step 4: Simplify right side
    328,267x = 509,865,974,401
  5. Step 5: Solve for x
    x = 509,865,974,401/328,267
  6. Step 6: Final answer
    x = 1,553,205.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.