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Finding the Third Proportional to 410,186 and 629,643

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Solution

The third proportional to 410,186 and 629,643 is: 966,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,186 : 629,643 = 629,643 : x
  2. Step 2: Convert to fraction form
    410,186/629,643 = 629,643/x
  3. Step 3: Cross multiply
    410,186x = 629,643 × 629,643
  4. Step 4: Simplify right side
    410,186x = 396,450,307,449
  5. Step 5: Solve for x
    x = 396,450,307,449/410,186
  6. Step 6: Final answer
    x = 966,513.50

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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.