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Finding the Third Proportional to 452,540 and 670,983

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Solution

The third proportional to 452,540 and 670,983 is: 994,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,540 : 670,983 = 670,983 : x
  2. Step 2: Convert to fraction form
    452,540/670,983 = 670,983/x
  3. Step 3: Cross multiply
    452,540x = 670,983 × 670,983
  4. Step 4: Simplify right side
    452,540x = 450,218,186,289
  5. Step 5: Solve for x
    x = 450,218,186,289/452,540
  6. Step 6: Final answer
    x = 994,869.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.