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Finding the Third Proportional to 356,132 and 725,456

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Solution

The third proportional to 356,132 and 725,456 is: 1,477,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,132 : 725,456 = 725,456 : x
  2. Step 2: Convert to fraction form
    356,132/725,456 = 725,456/x
  3. Step 3: Cross multiply
    356,132x = 725,456 × 725,456
  4. Step 4: Simplify right side
    356,132x = 526,286,407,936
  5. Step 5: Solve for x
    x = 526,286,407,936/356,132
  6. Step 6: Final answer
    x = 1,477,784.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.