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Finding the Third Proportional to 341,382 and 491,739

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Solution

The third proportional to 341,382 and 491,739 is: 708,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,382 : 491,739 = 491,739 : x
  2. Step 2: Convert to fraction form
    341,382/491,739 = 491,739/x
  3. Step 3: Cross multiply
    341,382x = 491,739 × 491,739
  4. Step 4: Simplify right side
    341,382x = 241,807,244,121
  5. Step 5: Solve for x
    x = 241,807,244,121/341,382
  6. Step 6: Final answer
    x = 708,318.67

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Why These Related Problems?

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