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Finding the Third Proportional to 274,150.88 and 611,336.06

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Solution

The third proportional to 274,150.88 and 611,336.06 is: 1,363,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,150.88 : 611,336.06 = 611,336.06 : x
  2. Step 2: Convert to fraction form
    274,150.88/611,336.06 = 611,336.06/x
  3. Step 3: Cross multiply
    274,150.88x = 611,336.06 × 611,336.06
  4. Step 4: Simplify right side
    274,150.88x = 373,731,781,313.00
  5. Step 5: Solve for x
    x = 373,731,781,313.00/274,150.88
  6. Step 6: Final answer
    x = 1,363,233.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.