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Finding the Third Proportional to 238,109.63 and 509,434.31

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Solution

The third proportional to 238,109.63 and 509,434.31 is: 1,089,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,109.63 : 509,434.31 = 509,434.31 : x
  2. Step 2: Convert to fraction form
    238,109.63/509,434.31 = 509,434.31/x
  3. Step 3: Cross multiply
    238,109.63x = 509,434.31 × 509,434.31
  4. Step 4: Simplify right side
    238,109.63x = 259,523,318,752.35
  5. Step 5: Solve for x
    x = 259,523,318,752.35/238,109.63
  6. Step 6: Final answer
    x = 1,089,932.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.