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Finding the Third Proportional to 304,830 and 452,831

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Solution

The third proportional to 304,830 and 452,831 is: 672,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,830 : 452,831 = 452,831 : x
  2. Step 2: Convert to fraction form
    304,830/452,831 = 452,831/x
  3. Step 3: Cross multiply
    304,830x = 452,831 × 452,831
  4. Step 4: Simplify right side
    304,830x = 205,055,914,561
  5. Step 5: Solve for x
    x = 205,055,914,561/304,830
  6. Step 6: Final answer
    x = 672,689.42

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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.