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Finding the Third Proportional to 325,824 and 477,072

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Solution

The third proportional to 325,824 and 477,072 is: 698,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,824 : 477,072 = 477,072 : x
  2. Step 2: Convert to fraction form
    325,824/477,072 = 477,072/x
  3. Step 3: Cross multiply
    325,824x = 477,072 × 477,072
  4. Step 4: Simplify right side
    325,824x = 227,597,693,184
  5. Step 5: Solve for x
    x = 227,597,693,184/325,824
  6. Step 6: Final answer
    x = 698,529.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.