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Finding the Third Proportional to 446,117.63 and 635,961.38

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Solution

The third proportional to 446,117.63 and 635,961.38 is: 906,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,117.63 : 635,961.38 = 635,961.38 : x
  2. Step 2: Convert to fraction form
    446,117.63/635,961.38 = 635,961.38/x
  3. Step 3: Cross multiply
    446,117.63x = 635,961.38 × 635,961.38
  4. Step 4: Simplify right side
    446,117.63x = 404,446,870,491.89
  5. Step 5: Solve for x
    x = 404,446,870,491.89/446,117.63
  6. Step 6: Final answer
    x = 906,592.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.