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Finding the Third Proportional to 244,270.13 and 538,237.13

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Solution

The third proportional to 244,270.13 and 538,237.13 is: 1,185,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,270.13 : 538,237.13 = 538,237.13 : x
  2. Step 2: Convert to fraction form
    244,270.13/538,237.13 = 538,237.13/x
  3. Step 3: Cross multiply
    244,270.13x = 538,237.13 × 538,237.13
  4. Step 4: Simplify right side
    244,270.13x = 289,699,202,728.27
  5. Step 5: Solve for x
    x = 289,699,202,728.27/244,270.13
  6. Step 6: Final answer
    x = 1,185,978.85

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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.