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Finding the Third Proportional to 324,775 and 477,319

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Solution

The third proportional to 324,775 and 477,319 is: 701,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,775 : 477,319 = 477,319 : x
  2. Step 2: Convert to fraction form
    324,775/477,319 = 477,319/x
  3. Step 3: Cross multiply
    324,775x = 477,319 × 477,319
  4. Step 4: Simplify right side
    324,775x = 227,833,427,761
  5. Step 5: Solve for x
    x = 227,833,427,761/324,775
  6. Step 6: Final answer
    x = 701,511.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.