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Finding the Third Proportional to 301,918.50 and 477,477

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Solution

The third proportional to 301,918.50 and 477,477 is: 755,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,918.50 : 477,477 = 477,477 : x
  2. Step 2: Convert to fraction form
    301,918.50/477,477 = 477,477/x
  3. Step 3: Cross multiply
    301,918.50x = 477,477 × 477,477
  4. Step 4: Simplify right side
    301,918.50x = 227,984,285,529
  5. Step 5: Solve for x
    x = 227,984,285,529/301,918.50
  6. Step 6: Final answer
    x = 755,118.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.