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Finding the Third Proportional to 341,542 and 509,542

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Solution

The third proportional to 341,542 and 509,542 is: 760,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,542 : 509,542 = 509,542 : x
  2. Step 2: Convert to fraction form
    341,542/509,542 = 509,542/x
  3. Step 3: Cross multiply
    341,542x = 509,542 × 509,542
  4. Step 4: Simplify right side
    341,542x = 259,633,049,764
  5. Step 5: Solve for x
    x = 259,633,049,764/341,542
  6. Step 6: Final answer
    x = 760,178.98

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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.