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Finding the Third Proportional to 285,267.75 and 444,259.50

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Solution

The third proportional to 285,267.75 and 444,259.50 is: 691,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,267.75 : 444,259.50 = 444,259.50 : x
  2. Step 2: Convert to fraction form
    285,267.75/444,259.50 = 444,259.50/x
  3. Step 3: Cross multiply
    285,267.75x = 444,259.50 × 444,259.50
  4. Step 4: Simplify right side
    285,267.75x = 197,366,503,340.25
  5. Step 5: Solve for x
    x = 197,366,503,340.25/285,267.75
  6. Step 6: Final answer
    x = 691,864.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.