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Finding the Third Proportional to 207,923.63 and 449,047.13

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Solution

The third proportional to 207,923.63 and 449,047.13 is: 969,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,923.63 : 449,047.13 = 449,047.13 : x
  2. Step 2: Convert to fraction form
    207,923.63/449,047.13 = 449,047.13/x
  3. Step 3: Cross multiply
    207,923.63x = 449,047.13 × 449,047.13
  4. Step 4: Simplify right side
    207,923.63x = 201,643,320,470.77
  5. Step 5: Solve for x
    x = 201,643,320,470.77/207,923.63
  6. Step 6: Final answer
    x = 969,795.14

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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.