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Finding the Third Proportional to 341,112 and 477,136

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Solution

The third proportional to 341,112 and 477,136 is: 667,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,112 : 477,136 = 477,136 : x
  2. Step 2: Convert to fraction form
    341,112/477,136 = 477,136/x
  3. Step 3: Cross multiply
    341,112x = 477,136 × 477,136
  4. Step 4: Simplify right side
    341,112x = 227,658,762,496
  5. Step 5: Solve for x
    x = 227,658,762,496/341,112
  6. Step 6: Final answer
    x = 667,401.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.