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Finding the Third Proportional to 525,204 and 811,122.75

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Solution

The third proportional to 525,204 and 811,122.75 is: 1,252,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,204 : 811,122.75 = 811,122.75 : x
  2. Step 2: Convert to fraction form
    525,204/811,122.75 = 811,122.75/x
  3. Step 3: Cross multiply
    525,204x = 811,122.75 × 811,122.75
  4. Step 4: Simplify right side
    525,204x = 657,920,115,567.56
  5. Step 5: Solve for x
    x = 657,920,115,567.56/525,204
  6. Step 6: Final answer
    x = 1,252,694.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.