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Finding the Third Proportional to 208,468 and 449,984

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Solution

The third proportional to 208,468 and 449,984 is: 971,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,468 : 449,984 = 449,984 : x
  2. Step 2: Convert to fraction form
    208,468/449,984 = 449,984/x
  3. Step 3: Cross multiply
    208,468x = 449,984 × 449,984
  4. Step 4: Simplify right side
    208,468x = 202,485,600,256
  5. Step 5: Solve for x
    x = 202,485,600,256/208,468
  6. Step 6: Final answer
    x = 971,303.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.