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Finding the Third Proportional to 325,880 and 477,154

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Solution

The third proportional to 325,880 and 477,154 is: 698,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,880 : 477,154 = 477,154 : x
  2. Step 2: Convert to fraction form
    325,880/477,154 = 477,154/x
  3. Step 3: Cross multiply
    325,880x = 477,154 × 477,154
  4. Step 4: Simplify right side
    325,880x = 227,675,939,716
  5. Step 5: Solve for x
    x = 227,675,939,716/325,880
  6. Step 6: Final answer
    x = 698,649.62

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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.