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Finding the Third Proportional to 327,450 and 715,773

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Solution

The third proportional to 327,450 and 715,773 is: 1,564,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,450 : 715,773 = 715,773 : x
  2. Step 2: Convert to fraction form
    327,450/715,773 = 715,773/x
  3. Step 3: Cross multiply
    327,450x = 715,773 × 715,773
  4. Step 4: Simplify right side
    327,450x = 512,330,987,529
  5. Step 5: Solve for x
    x = 512,330,987,529/327,450
  6. Step 6: Final answer
    x = 1,564,608.30

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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.