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Finding the Third Proportional to 304,846 and 463,348

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Solution

The third proportional to 304,846 and 463,348 is: 704,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,846 : 463,348 = 463,348 : x
  2. Step 2: Convert to fraction form
    304,846/463,348 = 463,348/x
  3. Step 3: Cross multiply
    304,846x = 463,348 × 463,348
  4. Step 4: Simplify right side
    304,846x = 214,691,369,104
  5. Step 5: Solve for x
    x = 214,691,369,104/304,846
  6. Step 6: Final answer
    x = 704,261.72

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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.