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Finding the Third Proportional to 446,236 and 679,813

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Solution

The third proportional to 446,236 and 679,813 is: 1,035,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,236 : 679,813 = 679,813 : x
  2. Step 2: Convert to fraction form
    446,236/679,813 = 679,813/x
  3. Step 3: Cross multiply
    446,236x = 679,813 × 679,813
  4. Step 4: Simplify right side
    446,236x = 462,145,714,969
  5. Step 5: Solve for x
    x = 462,145,714,969/446,236
  6. Step 6: Final answer
    x = 1,035,653.14

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Why These Related Problems?

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