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Finding the Third Proportional to 449,328 and 675,816

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Solution

The third proportional to 449,328 and 675,816 is: 1,016,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,328 : 675,816 = 675,816 : x
  2. Step 2: Convert to fraction form
    449,328/675,816 = 675,816/x
  3. Step 3: Cross multiply
    449,328x = 675,816 × 675,816
  4. Step 4: Simplify right side
    449,328x = 456,727,265,856
  5. Step 5: Solve for x
    x = 456,727,265,856/449,328
  6. Step 6: Final answer
    x = 1,016,467.40

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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.