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Finding the Third Proportional to 437,644.50 and 949,981.50

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Solution

The third proportional to 437,644.50 and 949,981.50 is: 2,062,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,644.50 : 949,981.50 = 949,981.50 : x
  2. Step 2: Convert to fraction form
    437,644.50/949,981.50 = 949,981.50/x
  3. Step 3: Cross multiply
    437,644.50x = 949,981.50 × 949,981.50
  4. Step 4: Simplify right side
    437,644.50x = 902,464,850,342.25
  5. Step 5: Solve for x
    x = 902,464,850,342.25/437,644.50
  6. Step 6: Final answer
    x = 2,062,095.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.