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Finding the Third Proportional to 446,314 and 679,960

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Solution

The third proportional to 446,314 and 679,960 is: 1,035,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,314 : 679,960 = 679,960 : x
  2. Step 2: Convert to fraction form
    446,314/679,960 = 679,960/x
  3. Step 3: Cross multiply
    446,314x = 679,960 × 679,960
  4. Step 4: Simplify right side
    446,314x = 462,345,601,600
  5. Step 5: Solve for x
    x = 462,345,601,600/446,314
  6. Step 6: Final answer
    x = 1,035,920.01

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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.