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Finding the Third Proportional to 643,700.25 and 945,843.75

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Solution

The third proportional to 643,700.25 and 945,843.75 is: 1,389,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,700.25 : 945,843.75 = 945,843.75 : x
  2. Step 2: Convert to fraction form
    643,700.25/945,843.75 = 945,843.75/x
  3. Step 3: Cross multiply
    643,700.25x = 945,843.75 × 945,843.75
  4. Step 4: Simplify right side
    643,700.25x = 894,620,399,414.06
  5. Step 5: Solve for x
    x = 894,620,399,414.06/643,700.25
  6. Step 6: Final answer
    x = 1,389,809.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.