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Finding the Third Proportional to 416,725 and 622,341

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Solution

The third proportional to 416,725 and 622,341 is: 929,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,725 : 622,341 = 622,341 : x
  2. Step 2: Convert to fraction form
    416,725/622,341 = 622,341/x
  3. Step 3: Cross multiply
    416,725x = 622,341 × 622,341
  4. Step 4: Simplify right side
    416,725x = 387,308,320,281
  5. Step 5: Solve for x
    x = 387,308,320,281/416,725
  6. Step 6: Final answer
    x = 929,409.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.