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Finding the Third Proportional to 324,441 and 433,989

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Solution

The third proportional to 324,441 and 433,989 is: 580,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,441 : 433,989 = 433,989 : x
  2. Step 2: Convert to fraction form
    324,441/433,989 = 433,989/x
  3. Step 3: Cross multiply
    324,441x = 433,989 × 433,989
  4. Step 4: Simplify right side
    324,441x = 188,346,452,121
  5. Step 5: Solve for x
    x = 188,346,452,121/324,441
  6. Step 6: Final answer
    x = 580,526.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.