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Finding the Third Proportional to 235,032 and 498,205.50

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Solution

The third proportional to 235,032 and 498,205.50 is: 1,056,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,032 : 498,205.50 = 498,205.50 : x
  2. Step 2: Convert to fraction form
    235,032/498,205.50 = 498,205.50/x
  3. Step 3: Cross multiply
    235,032x = 498,205.50 × 498,205.50
  4. Step 4: Simplify right side
    235,032x = 248,208,720,230.25
  5. Step 5: Solve for x
    x = 248,208,720,230.25/235,032
  6. Step 6: Final answer
    x = 1,056,063.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.