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Finding the Third Proportional to 255,708 and 538,374.38

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Solution

The third proportional to 255,708 and 538,374.38 is: 1,133,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,708 : 538,374.38 = 538,374.38 : x
  2. Step 2: Convert to fraction form
    255,708/538,374.38 = 538,374.38/x
  3. Step 3: Cross multiply
    255,708x = 538,374.38 × 538,374.38
  4. Step 4: Simplify right side
    255,708x = 289,846,967,656.64
  5. Step 5: Solve for x
    x = 289,846,967,656.64/255,708
  6. Step 6: Final answer
    x = 1,133,507.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.