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Finding the Third Proportional to 254,752 and 392,824

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Solution

The third proportional to 254,752 and 392,824 is: 605,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,752 : 392,824 = 392,824 : x
  2. Step 2: Convert to fraction form
    254,752/392,824 = 392,824/x
  3. Step 3: Cross multiply
    254,752x = 392,824 × 392,824
  4. Step 4: Simplify right side
    254,752x = 154,310,694,976
  5. Step 5: Solve for x
    x = 154,310,694,976/254,752
  6. Step 6: Final answer
    x = 605,729.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.