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Finding the Third Proportional to 324,802 and 706,750

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Solution

The third proportional to 324,802 and 706,750 is: 1,537,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,802 : 706,750 = 706,750 : x
  2. Step 2: Convert to fraction form
    324,802/706,750 = 706,750/x
  3. Step 3: Cross multiply
    324,802x = 706,750 × 706,750
  4. Step 4: Simplify right side
    324,802x = 499,495,562,500
  5. Step 5: Solve for x
    x = 499,495,562,500/324,802
  6. Step 6: Final answer
    x = 1,537,846.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.