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Finding the Third Proportional to 447,315.75 and 961,375.50

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Solution

The third proportional to 447,315.75 and 961,375.50 is: 2,066,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,315.75 : 961,375.50 = 961,375.50 : x
  2. Step 2: Convert to fraction form
    447,315.75/961,375.50 = 961,375.50/x
  3. Step 3: Cross multiply
    447,315.75x = 961,375.50 × 961,375.50
  4. Step 4: Simplify right side
    447,315.75x = 924,242,852,000.25
  5. Step 5: Solve for x
    x = 924,242,852,000.25/447,315.75
  6. Step 6: Final answer
    x = 2,066,197.87

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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.