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Finding the Third Proportional to 232,450.50 and 500,347.50

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Solution

The third proportional to 232,450.50 and 500,347.50 is: 1,076,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,450.50 : 500,347.50 = 500,347.50 : x
  2. Step 2: Convert to fraction form
    232,450.50/500,347.50 = 500,347.50/x
  3. Step 3: Cross multiply
    232,450.50x = 500,347.50 × 500,347.50
  4. Step 4: Simplify right side
    232,450.50x = 250,347,620,756.25
  5. Step 5: Solve for x
    x = 250,347,620,756.25/232,450.50
  6. Step 6: Final answer
    x = 1,076,993.26

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Why These Related Problems?

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