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Finding the Third Proportional to 341,023.25 and 509,428.75

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Solution

The third proportional to 341,023.25 and 509,428.75 is: 760,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,023.25 : 509,428.75 = 509,428.75 : x
  2. Step 2: Convert to fraction form
    341,023.25/509,428.75 = 509,428.75/x
  3. Step 3: Cross multiply
    341,023.25x = 509,428.75 × 509,428.75
  4. Step 4: Simplify right side
    341,023.25x = 259,517,651,326.56
  5. Step 5: Solve for x
    x = 259,517,651,326.56/341,023.25
  6. Step 6: Final answer
    x = 760,996.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.