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Finding the Third Proportional to 324,435 and 504,108

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Solution

The third proportional to 324,435 and 504,108 is: 783,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,435 : 504,108 = 504,108 : x
  2. Step 2: Convert to fraction form
    324,435/504,108 = 504,108/x
  3. Step 3: Cross multiply
    324,435x = 504,108 × 504,108
  4. Step 4: Simplify right side
    324,435x = 254,124,875,664
  5. Step 5: Solve for x
    x = 254,124,875,664/324,435
  6. Step 6: Final answer
    x = 783,284.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.