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Finding the Third Proportional to 380,896 and 727,232

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Solution

The third proportional to 380,896 and 727,232 is: 1,388,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,896 : 727,232 = 727,232 : x
  2. Step 2: Convert to fraction form
    380,896/727,232 = 727,232/x
  3. Step 3: Cross multiply
    380,896x = 727,232 × 727,232
  4. Step 4: Simplify right side
    380,896x = 528,866,381,824
  5. Step 5: Solve for x
    x = 528,866,381,824/380,896
  6. Step 6: Final answer
    x = 1,388,479.75

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.