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Finding the Third Proportional to 360,448 and 526,976

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Solution

The third proportional to 360,448 and 526,976 is: 770,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,448 : 526,976 = 526,976 : x
  2. Step 2: Convert to fraction form
    360,448/526,976 = 526,976/x
  3. Step 3: Cross multiply
    360,448x = 526,976 × 526,976
  4. Step 4: Simplify right side
    360,448x = 277,703,704,576
  5. Step 5: Solve for x
    x = 277,703,704,576/360,448
  6. Step 6: Final answer
    x = 770,440.41

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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.