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Finding the Third Proportional to 303,271 and 470,897

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Solution

The third proportional to 303,271 and 470,897 is: 731,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,271 : 470,897 = 470,897 : x
  2. Step 2: Convert to fraction form
    303,271/470,897 = 470,897/x
  3. Step 3: Cross multiply
    303,271x = 470,897 × 470,897
  4. Step 4: Simplify right side
    303,271x = 221,743,984,609
  5. Step 5: Solve for x
    x = 221,743,984,609/303,271
  6. Step 6: Final answer
    x = 731,174.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.