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Finding the Third Proportional to 272,032 and 408,048.50

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Solution

The third proportional to 272,032 and 408,048.50 is: 612,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,032 : 408,048.50 = 408,048.50 : x
  2. Step 2: Convert to fraction form
    272,032/408,048.50 = 408,048.50/x
  3. Step 3: Cross multiply
    272,032x = 408,048.50 × 408,048.50
  4. Step 4: Simplify right side
    272,032x = 166,503,578,352.25
  5. Step 5: Solve for x
    x = 166,503,578,352.25/272,032
  6. Step 6: Final answer
    x = 612,073.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.