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Finding the Third Proportional to 304,834 and 452,836

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Solution

The third proportional to 304,834 and 452,836 is: 672,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,834 : 452,836 = 452,836 : x
  2. Step 2: Convert to fraction form
    304,834/452,836 = 452,836/x
  3. Step 3: Cross multiply
    304,834x = 452,836 × 452,836
  4. Step 4: Simplify right side
    304,834x = 205,060,442,896
  5. Step 5: Solve for x
    x = 205,060,442,896/304,834
  6. Step 6: Final answer
    x = 672,695.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.