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Finding the Third Proportional to 449,304 and 675,780

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Solution

The third proportional to 449,304 and 675,780 is: 1,016,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,304 : 675,780 = 675,780 : x
  2. Step 2: Convert to fraction form
    449,304/675,780 = 675,780/x
  3. Step 3: Cross multiply
    449,304x = 675,780 × 675,780
  4. Step 4: Simplify right side
    449,304x = 456,678,608,400
  5. Step 5: Solve for x
    x = 456,678,608,400/449,304
  6. Step 6: Final answer
    x = 1,016,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.