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Finding the Third Proportional to 235,434 and 512,905.50

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Solution

The third proportional to 235,434 and 512,905.50 is: 1,117,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,434 : 512,905.50 = 512,905.50 : x
  2. Step 2: Convert to fraction form
    235,434/512,905.50 = 512,905.50/x
  3. Step 3: Cross multiply
    235,434x = 512,905.50 × 512,905.50
  4. Step 4: Simplify right side
    235,434x = 263,072,051,930.25
  5. Step 5: Solve for x
    x = 263,072,051,930.25/235,434
  6. Step 6: Final answer
    x = 1,117,391.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.