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Finding the Third Proportional to 244,926 and 538,038

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Solution

The third proportional to 244,926 and 538,038 is: 1,181,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,926 : 538,038 = 538,038 : x
  2. Step 2: Convert to fraction form
    244,926/538,038 = 538,038/x
  3. Step 3: Cross multiply
    244,926x = 538,038 × 538,038
  4. Step 4: Simplify right side
    244,926x = 289,484,889,444
  5. Step 5: Solve for x
    x = 289,484,889,444/244,926
  6. Step 6: Final answer
    x = 1,181,927.97

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