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Finding the Third Proportional to 356,049 and 475,605

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Solution

The third proportional to 356,049 and 475,605 is: 635,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,049 : 475,605 = 475,605 : x
  2. Step 2: Convert to fraction form
    356,049/475,605 = 475,605/x
  3. Step 3: Cross multiply
    356,049x = 475,605 × 475,605
  4. Step 4: Simplify right side
    356,049x = 226,200,116,025
  5. Step 5: Solve for x
    x = 226,200,116,025/356,049
  6. Step 6: Final answer
    x = 635,306.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.