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Finding the Third Proportional to 370,240 and 541,326

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Solution

The third proportional to 370,240 and 541,326 is: 791,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,240 : 541,326 = 541,326 : x
  2. Step 2: Convert to fraction form
    370,240/541,326 = 541,326/x
  3. Step 3: Cross multiply
    370,240x = 541,326 × 541,326
  4. Step 4: Simplify right side
    370,240x = 293,033,838,276
  5. Step 5: Solve for x
    x = 293,033,838,276/370,240
  6. Step 6: Final answer
    x = 791,469.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.