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Finding the Third Proportional to 446,236 and 679,814

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Solution

The third proportional to 446,236 and 679,814 is: 1,035,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,236 : 679,814 = 679,814 : x
  2. Step 2: Convert to fraction form
    446,236/679,814 = 679,814/x
  3. Step 3: Cross multiply
    446,236x = 679,814 × 679,814
  4. Step 4: Simplify right side
    446,236x = 462,147,074,596
  5. Step 5: Solve for x
    x = 462,147,074,596/446,236
  6. Step 6: Final answer
    x = 1,035,656.19

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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.