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Finding the Third Proportional to 315,537.75 and 679,189.50

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Solution

The third proportional to 315,537.75 and 679,189.50 is: 1,461,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,537.75 : 679,189.50 = 679,189.50 : x
  2. Step 2: Convert to fraction form
    315,537.75/679,189.50 = 679,189.50/x
  3. Step 3: Cross multiply
    315,537.75x = 679,189.50 × 679,189.50
  4. Step 4: Simplify right side
    315,537.75x = 461,298,376,910.25
  5. Step 5: Solve for x
    x = 461,298,376,910.25/315,537.75
  6. Step 6: Final answer
    x = 1,461,943.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.