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Finding the Third Proportional to 324,513 and 710,104

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Solution

The third proportional to 324,513 and 710,104 is: 1,553,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,513 : 710,104 = 710,104 : x
  2. Step 2: Convert to fraction form
    324,513/710,104 = 710,104/x
  3. Step 3: Cross multiply
    324,513x = 710,104 × 710,104
  4. Step 4: Simplify right side
    324,513x = 504,247,690,816
  5. Step 5: Solve for x
    x = 504,247,690,816/324,513
  6. Step 6: Final answer
    x = 1,553,859.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.