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Finding the Third Proportional to 304,834 and 463,330

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Solution

The third proportional to 304,834 and 463,330 is: 704,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,834 : 463,330 = 463,330 : x
  2. Step 2: Convert to fraction form
    304,834/463,330 = 463,330/x
  3. Step 3: Cross multiply
    304,834x = 463,330 × 463,330
  4. Step 4: Simplify right side
    304,834x = 214,674,688,900
  5. Step 5: Solve for x
    x = 214,674,688,900/304,834
  6. Step 6: Final answer
    x = 704,234.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.