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Finding the Third Proportional to 361,063 and 504,764

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Solution

The third proportional to 361,063 and 504,764 is: 705,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,063 : 504,764 = 504,764 : x
  2. Step 2: Convert to fraction form
    361,063/504,764 = 504,764/x
  3. Step 3: Cross multiply
    361,063x = 504,764 × 504,764
  4. Step 4: Simplify right side
    361,063x = 254,786,695,696
  5. Step 5: Solve for x
    x = 254,786,695,696/361,063
  6. Step 6: Final answer
    x = 705,657.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.