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Finding the Third Proportional to 449,650 and 677,443

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Solution

The third proportional to 449,650 and 677,443 is: 1,020,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,650 : 677,443 = 677,443 : x
  2. Step 2: Convert to fraction form
    449,650/677,443 = 677,443/x
  3. Step 3: Cross multiply
    449,650x = 677,443 × 677,443
  4. Step 4: Simplify right side
    449,650x = 458,929,018,249
  5. Step 5: Solve for x
    x = 458,929,018,249/449,650
  6. Step 6: Final answer
    x = 1,020,636.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.