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Finding the Third Proportional to 207,824 and 446,728

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Solution

The third proportional to 207,824 and 446,728 is: 960,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824 : 446,728 = 446,728 : x
  2. Step 2: Convert to fraction form
    207,824/446,728 = 446,728/x
  3. Step 3: Cross multiply
    207,824x = 446,728 × 446,728
  4. Step 4: Simplify right side
    207,824x = 199,565,905,984
  5. Step 5: Solve for x
    x = 199,565,905,984/207,824
  6. Step 6: Final answer
    x = 960,264.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.