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Finding the Third Proportional to 446,199 and 679,754

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Solution

The third proportional to 446,199 and 679,754 is: 1,035,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,199 : 679,754 = 679,754 : x
  2. Step 2: Convert to fraction form
    446,199/679,754 = 679,754/x
  3. Step 3: Cross multiply
    446,199x = 679,754 × 679,754
  4. Step 4: Simplify right side
    446,199x = 462,065,500,516
  5. Step 5: Solve for x
    x = 462,065,500,516/446,199
  6. Step 6: Final answer
    x = 1,035,559.25

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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.