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Finding the Third Proportional to 259,612.50 and 559,401

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Solution

The third proportional to 259,612.50 and 559,401 is: 1,205,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,612.50 : 559,401 = 559,401 : x
  2. Step 2: Convert to fraction form
    259,612.50/559,401 = 559,401/x
  3. Step 3: Cross multiply
    259,612.50x = 559,401 × 559,401
  4. Step 4: Simplify right side
    259,612.50x = 312,929,478,801
  5. Step 5: Solve for x
    x = 312,929,478,801/259,612.50
  6. Step 6: Final answer
    x = 1,205,371.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.