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Finding the Third Proportional to 234,477 and 477,240

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Solution

The third proportional to 234,477 and 477,240 is: 971,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,477 : 477,240 = 477,240 : x
  2. Step 2: Convert to fraction form
    234,477/477,240 = 477,240/x
  3. Step 3: Cross multiply
    234,477x = 477,240 × 477,240
  4. Step 4: Simplify right side
    234,477x = 227,758,017,600
  5. Step 5: Solve for x
    x = 227,758,017,600/234,477
  6. Step 6: Final answer
    x = 971,344.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.