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Finding the Third Proportional to 285,824 and 603,726

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Solution

The third proportional to 285,824 and 603,726 is: 1,275,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,824 : 603,726 = 603,726 : x
  2. Step 2: Convert to fraction form
    285,824/603,726 = 603,726/x
  3. Step 3: Cross multiply
    285,824x = 603,726 × 603,726
  4. Step 4: Simplify right side
    285,824x = 364,485,083,076
  5. Step 5: Solve for x
    x = 364,485,083,076/285,824
  6. Step 6: Final answer
    x = 1,275,208.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.