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Finding the Third Proportional to 452,256.75 and 703,289.25

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Solution

The third proportional to 452,256.75 and 703,289.25 is: 1,093,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,256.75 : 703,289.25 = 703,289.25 : x
  2. Step 2: Convert to fraction form
    452,256.75/703,289.25 = 703,289.25/x
  3. Step 3: Cross multiply
    452,256.75x = 703,289.25 × 703,289.25
  4. Step 4: Simplify right side
    452,256.75x = 494,615,769,165.56
  5. Step 5: Solve for x
    x = 494,615,769,165.56/452,256.75
  6. Step 6: Final answer
    x = 1,093,661.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.