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Finding the Third Proportional to 324,496 and 500,088

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Solution

The third proportional to 324,496 and 500,088 is: 770,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,496 : 500,088 = 500,088 : x
  2. Step 2: Convert to fraction form
    324,496/500,088 = 500,088/x
  3. Step 3: Cross multiply
    324,496x = 500,088 × 500,088
  4. Step 4: Simplify right side
    324,496x = 250,088,007,744
  5. Step 5: Solve for x
    x = 250,088,007,744/324,496
  6. Step 6: Final answer
    x = 770,696.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.