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Finding the Third Proportional to 324,201 and 706,884

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Solution

The third proportional to 324,201 and 706,884 is: 1,541,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,201 : 706,884 = 706,884 : x
  2. Step 2: Convert to fraction form
    324,201/706,884 = 706,884/x
  3. Step 3: Cross multiply
    324,201x = 706,884 × 706,884
  4. Step 4: Simplify right side
    324,201x = 499,684,989,456
  5. Step 5: Solve for x
    x = 499,684,989,456/324,201
  6. Step 6: Final answer
    x = 1,541,281.46

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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.