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Finding the Third Proportional to 413,176 and 638,447

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Solution

The third proportional to 413,176 and 638,447 is: 986,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,176 : 638,447 = 638,447 : x
  2. Step 2: Convert to fraction form
    413,176/638,447 = 638,447/x
  3. Step 3: Cross multiply
    413,176x = 638,447 × 638,447
  4. Step 4: Simplify right side
    413,176x = 407,614,571,809
  5. Step 5: Solve for x
    x = 407,614,571,809/413,176
  6. Step 6: Final answer
    x = 986,539.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.