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Finding the Third Proportional to 333,986.63 and 679,637.25

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Solution

The third proportional to 333,986.63 and 679,637.25 is: 1,383,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,986.63 : 679,637.25 = 679,637.25 : x
  2. Step 2: Convert to fraction form
    333,986.63/679,637.25 = 679,637.25/x
  3. Step 3: Cross multiply
    333,986.63x = 679,637.25 × 679,637.25
  4. Step 4: Simplify right side
    333,986.63x = 461,906,791,587.56
  5. Step 5: Solve for x
    x = 461,906,791,587.56/333,986.63
  6. Step 6: Final answer
    x = 1,383,009.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.