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Finding the Third Proportional to 445,687.50 and 960,674.50

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Solution

The third proportional to 445,687.50 and 960,674.50 is: 2,070,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,687.50 : 960,674.50 = 960,674.50 : x
  2. Step 2: Convert to fraction form
    445,687.50/960,674.50 = 960,674.50/x
  3. Step 3: Cross multiply
    445,687.50x = 960,674.50 × 960,674.50
  4. Step 4: Simplify right side
    445,687.50x = 922,895,494,950.25
  5. Step 5: Solve for x
    x = 922,895,494,950.25/445,687.50
  6. Step 6: Final answer
    x = 2,070,723.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.