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Finding the Third Proportional to 452,538 and 670,980

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Solution

The third proportional to 452,538 and 670,980 is: 994,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,538 : 670,980 = 670,980 : x
  2. Step 2: Convert to fraction form
    452,538/670,980 = 670,980/x
  3. Step 3: Cross multiply
    452,538x = 670,980 × 670,980
  4. Step 4: Simplify right side
    452,538x = 450,214,160,400
  5. Step 5: Solve for x
    x = 450,214,160,400/452,538
  6. Step 6: Final answer
    x = 994,864.87

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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.