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Finding the Third Proportional to 538,906.50 and 749,299

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Solution

The third proportional to 538,906.50 and 749,299 is: 1,041,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,906.50 : 749,299 = 749,299 : x
  2. Step 2: Convert to fraction form
    538,906.50/749,299 = 749,299/x
  3. Step 3: Cross multiply
    538,906.50x = 749,299 × 749,299
  4. Step 4: Simplify right side
    538,906.50x = 561,448,991,401
  5. Step 5: Solve for x
    x = 561,448,991,401/538,906.50
  6. Step 6: Final answer
    x = 1,041,830.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.