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Finding the Third Proportional to 643,288.50 and 943,440.75

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Solution

The third proportional to 643,288.50 and 943,440.75 is: 1,383,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,288.50 : 943,440.75 = 943,440.75 : x
  2. Step 2: Convert to fraction form
    643,288.50/943,440.75 = 943,440.75/x
  3. Step 3: Cross multiply
    643,288.50x = 943,440.75 × 943,440.75
  4. Step 4: Simplify right side
    643,288.50x = 890,080,448,760.56
  5. Step 5: Solve for x
    x = 890,080,448,760.56/643,288.50
  6. Step 6: Final answer
    x = 1,383,641.16

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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.