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Finding the Third Proportional to 446,266 and 679,870

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Solution

The third proportional to 446,266 and 679,870 is: 1,035,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,266 : 679,870 = 679,870 : x
  2. Step 2: Convert to fraction form
    446,266/679,870 = 679,870/x
  3. Step 3: Cross multiply
    446,266x = 679,870 × 679,870
  4. Step 4: Simplify right side
    446,266x = 462,223,216,900
  5. Step 5: Solve for x
    x = 462,223,216,900/446,266
  6. Step 6: Final answer
    x = 1,035,757.19

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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.