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Finding the Third Proportional to 275,526 and 415,314

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Solution

The third proportional to 275,526 and 415,314 is: 626,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,526 : 415,314 = 415,314 : x
  2. Step 2: Convert to fraction form
    275,526/415,314 = 415,314/x
  3. Step 3: Cross multiply
    275,526x = 415,314 × 415,314
  4. Step 4: Simplify right side
    275,526x = 172,485,718,596
  5. Step 5: Solve for x
    x = 172,485,718,596/275,526
  6. Step 6: Final answer
    x = 626,023.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.