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Finding the Third Proportional to 341,367 and 491,726.50

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Solution

The third proportional to 341,367 and 491,726.50 is: 708,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,367 : 491,726.50 = 491,726.50 : x
  2. Step 2: Convert to fraction form
    341,367/491,726.50 = 491,726.50/x
  3. Step 3: Cross multiply
    341,367x = 491,726.50 × 491,726.50
  4. Step 4: Simplify right side
    341,367x = 241,794,950,802.25
  5. Step 5: Solve for x
    x = 241,794,950,802.25/341,367
  6. Step 6: Final answer
    x = 708,313.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.