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Finding the Third Proportional to 446,065.88 and 635,882.63

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Solution

The third proportional to 446,065.88 and 635,882.63 is: 906,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,065.88 : 635,882.63 = 635,882.63 : x
  2. Step 2: Convert to fraction form
    446,065.88/635,882.63 = 635,882.63/x
  3. Step 3: Cross multiply
    446,065.88x = 635,882.63 × 635,882.63
  4. Step 4: Simplify right side
    446,065.88x = 404,346,712,776.89
  5. Step 5: Solve for x
    x = 404,346,712,776.89/446,065.88
  6. Step 6: Final answer
    x = 906,473.09

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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.