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Finding the Third Proportional to 244,263.50 and 538,222

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Solution

The third proportional to 244,263.50 and 538,222 is: 1,185,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,263.50 : 538,222 = 538,222 : x
  2. Step 2: Convert to fraction form
    244,263.50/538,222 = 538,222/x
  3. Step 3: Cross multiply
    244,263.50x = 538,222 × 538,222
  4. Step 4: Simplify right side
    244,263.50x = 289,682,921,284
  5. Step 5: Solve for x
    x = 289,682,921,284/244,263.50
  6. Step 6: Final answer
    x = 1,185,944.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.