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Finding the Third Proportional to 235,932.50 and 509,407

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Solution

The third proportional to 235,932.50 and 509,407 is: 1,099,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,932.50 : 509,407 = 509,407 : x
  2. Step 2: Convert to fraction form
    235,932.50/509,407 = 509,407/x
  3. Step 3: Cross multiply
    235,932.50x = 509,407 × 509,407
  4. Step 4: Simplify right side
    235,932.50x = 259,495,491,649
  5. Step 5: Solve for x
    x = 259,495,491,649/235,932.50
  6. Step 6: Final answer
    x = 1,099,871.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.