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Finding the Third Proportional to 235,113 and 505,576.50

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Solution

The third proportional to 235,113 and 505,576.50 is: 1,087,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,113 : 505,576.50 = 505,576.50 : x
  2. Step 2: Convert to fraction form
    235,113/505,576.50 = 505,576.50/x
  3. Step 3: Cross multiply
    235,113x = 505,576.50 × 505,576.50
  4. Step 4: Simplify right side
    235,113x = 255,607,597,352.25
  5. Step 5: Solve for x
    x = 255,607,597,352.25/235,113
  6. Step 6: Final answer
    x = 1,087,169.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.