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Finding the Third Proportional to 232,969.50 and 504,022.50

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Solution

The third proportional to 232,969.50 and 504,022.50 is: 1,090,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969.50 : 504,022.50 = 504,022.50 : x
  2. Step 2: Convert to fraction form
    232,969.50/504,022.50 = 504,022.50/x
  3. Step 3: Cross multiply
    232,969.50x = 504,022.50 × 504,022.50
  4. Step 4: Simplify right side
    232,969.50x = 254,038,680,506.25
  5. Step 5: Solve for x
    x = 254,038,680,506.25/232,969.50
  6. Step 6: Final answer
    x = 1,090,437.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.