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Finding the Third Proportional to 280,824 and 605,932

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Solution

The third proportional to 280,824 and 605,932 is: 1,307,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,824 : 605,932 = 605,932 : x
  2. Step 2: Convert to fraction form
    280,824/605,932 = 605,932/x
  3. Step 3: Cross multiply
    280,824x = 605,932 × 605,932
  4. Step 4: Simplify right side
    280,824x = 367,153,588,624
  5. Step 5: Solve for x
    x = 367,153,588,624/280,824
  6. Step 6: Final answer
    x = 1,307,415.28

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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.