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Finding the Third Proportional to 452,794 and 612,761

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Solution

The third proportional to 452,794 and 612,761 is: 829,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,794 : 612,761 = 612,761 : x
  2. Step 2: Convert to fraction form
    452,794/612,761 = 612,761/x
  3. Step 3: Cross multiply
    452,794x = 612,761 × 612,761
  4. Step 4: Simplify right side
    452,794x = 375,476,043,121
  5. Step 5: Solve for x
    x = 375,476,043,121/452,794
  6. Step 6: Final answer
    x = 829,242.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.