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Finding the Third Proportional to 452,754 and 612,698

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Solution

The third proportional to 452,754 and 612,698 is: 829,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,754 : 612,698 = 612,698 : x
  2. Step 2: Convert to fraction form
    452,754/612,698 = 612,698/x
  3. Step 3: Cross multiply
    452,754x = 612,698 × 612,698
  4. Step 4: Simplify right side
    452,754x = 375,398,839,204
  5. Step 5: Solve for x
    x = 375,398,839,204/452,754
  6. Step 6: Final answer
    x = 829,145.27

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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.