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Finding the Third Proportional to 341,539.88 and 509,538.94

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Solution

The third proportional to 341,539.88 and 509,538.94 is: 760,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,539.88 : 509,538.94 = 509,538.94 : x
  2. Step 2: Convert to fraction form
    341,539.88/509,538.94 = 509,538.94/x
  3. Step 3: Cross multiply
    341,539.88x = 509,538.94 × 509,538.94
  4. Step 4: Simplify right side
    341,539.88x = 259,629,928,828.63
  5. Step 5: Solve for x
    x = 259,629,928,828.63/341,539.88
  6. Step 6: Final answer
    x = 760,174.57

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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.