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Finding the Third Proportional to 304,826 and 463,318

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Solution

The third proportional to 304,826 and 463,318 is: 704,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,826 : 463,318 = 463,318 : x
  2. Step 2: Convert to fraction form
    304,826/463,318 = 463,318/x
  3. Step 3: Cross multiply
    304,826x = 463,318 × 463,318
  4. Step 4: Simplify right side
    304,826x = 214,663,569,124
  5. Step 5: Solve for x
    x = 214,663,569,124/304,826
  6. Step 6: Final answer
    x = 704,216.73

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Why These Related Problems?

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