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Finding the Third Proportional to 207,970.45 and 447,464.46

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Solution

The third proportional to 207,970.45 and 447,464.46 is: 962,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.45 : 447,464.46 = 447,464.46 : x
  2. Step 2: Convert to fraction form
    207,970.45/447,464.46 = 447,464.46/x
  3. Step 3: Cross multiply
    207,970.45x = 447,464.46 × 447,464.46
  4. Step 4: Simplify right side
    207,970.45x = 200,224,443,802.09
  5. Step 5: Solve for x
    x = 200,224,443,802.09/207,970.45
  6. Step 6: Final answer
    x = 962,754.28

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Why These Related Problems?

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