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Finding the Third Proportional to 324,014 and 504,705

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Solution

The third proportional to 324,014 and 504,705 is: 786,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,014 : 504,705 = 504,705 : x
  2. Step 2: Convert to fraction form
    324,014/504,705 = 504,705/x
  3. Step 3: Cross multiply
    324,014x = 504,705 × 504,705
  4. Step 4: Simplify right side
    324,014x = 254,727,137,025
  5. Step 5: Solve for x
    x = 254,727,137,025/324,014
  6. Step 6: Final answer
    x = 786,160.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.