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Finding the Third Proportional to 232,804.50 and 511,332

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Solution

The third proportional to 232,804.50 and 511,332 is: 1,123,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,804.50 : 511,332 = 511,332 : x
  2. Step 2: Convert to fraction form
    232,804.50/511,332 = 511,332/x
  3. Step 3: Cross multiply
    232,804.50x = 511,332 × 511,332
  4. Step 4: Simplify right side
    232,804.50x = 261,460,414,224
  5. Step 5: Solve for x
    x = 261,460,414,224/232,804.50
  6. Step 6: Final answer
    x = 1,123,090.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.