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Finding the Third Proportional to 366,112.50 and 759,894

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Solution

The third proportional to 366,112.50 and 759,894 is: 1,577,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,112.50 : 759,894 = 759,894 : x
  2. Step 2: Convert to fraction form
    366,112.50/759,894 = 759,894/x
  3. Step 3: Cross multiply
    366,112.50x = 759,894 × 759,894
  4. Step 4: Simplify right side
    366,112.50x = 577,438,891,236
  5. Step 5: Solve for x
    x = 577,438,891,236/366,112.50
  6. Step 6: Final answer
    x = 1,577,217.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.