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Finding the Third Proportional to 298,995 and 475,466

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Solution

The third proportional to 298,995 and 475,466 is: 756,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,995 : 475,466 = 475,466 : x
  2. Step 2: Convert to fraction form
    298,995/475,466 = 475,466/x
  3. Step 3: Cross multiply
    298,995x = 475,466 × 475,466
  4. Step 4: Simplify right side
    298,995x = 226,067,917,156
  5. Step 5: Solve for x
    x = 226,067,917,156/298,995
  6. Step 6: Final answer
    x = 756,092.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.