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Finding the Third Proportional to 410,184 and 629,640

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Solution

The third proportional to 410,184 and 629,640 is: 966,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,184 : 629,640 = 629,640 : x
  2. Step 2: Convert to fraction form
    410,184/629,640 = 629,640/x
  3. Step 3: Cross multiply
    410,184x = 629,640 × 629,640
  4. Step 4: Simplify right side
    410,184x = 396,446,529,600
  5. Step 5: Solve for x
    x = 396,446,529,600/410,184
  6. Step 6: Final answer
    x = 966,509.00

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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.