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Finding the Third Proportional to 446,088 and 635,913

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Solution

The third proportional to 446,088 and 635,913 is: 906,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,088 : 635,913 = 635,913 : x
  2. Step 2: Convert to fraction form
    446,088/635,913 = 635,913/x
  3. Step 3: Cross multiply
    446,088x = 635,913 × 635,913
  4. Step 4: Simplify right side
    446,088x = 404,385,343,569
  5. Step 5: Solve for x
    x = 404,385,343,569/446,088
  6. Step 6: Final answer
    x = 906,514.73

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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.