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Finding the Third Proportional to 235,365.75 and 514,467.75

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Solution

The third proportional to 235,365.75 and 514,467.75 is: 1,124,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,365.75 : 514,467.75 = 514,467.75 : x
  2. Step 2: Convert to fraction form
    235,365.75/514,467.75 = 514,467.75/x
  3. Step 3: Cross multiply
    235,365.75x = 514,467.75 × 514,467.75
  4. Step 4: Simplify right side
    235,365.75x = 264,677,065,790.06
  5. Step 5: Solve for x
    x = 264,677,065,790.06/235,365.75
  6. Step 6: Final answer
    x = 1,124,535.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.