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Finding the Third Proportional to 303,272 and 470,894

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Solution

The third proportional to 303,272 and 470,894 is: 731,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,272 : 470,894 = 470,894 : x
  2. Step 2: Convert to fraction form
    303,272/470,894 = 470,894/x
  3. Step 3: Cross multiply
    303,272x = 470,894 × 470,894
  4. Step 4: Simplify right side
    303,272x = 221,741,159,236
  5. Step 5: Solve for x
    x = 221,741,159,236/303,272
  6. Step 6: Final answer
    x = 731,162.65

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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.