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Finding the Third Proportional to 446,229 and 679,802.63

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Solution

The third proportional to 446,229 and 679,802.63 is: 1,035,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,229 : 679,802.63 = 679,802.63 : x
  2. Step 2: Convert to fraction form
    446,229/679,802.63 = 679,802.63/x
  3. Step 3: Cross multiply
    446,229x = 679,802.63 × 679,802.63
  4. Step 4: Simplify right side
    446,229x = 462,131,608,956.89
  5. Step 5: Solve for x
    x = 462,131,608,956.89/446,229
  6. Step 6: Final answer
    x = 1,035,637.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.