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Finding the Third Proportional to 275,040 and 579,946

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Solution

The third proportional to 275,040 and 579,946 is: 1,222,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,040 : 579,946 = 579,946 : x
  2. Step 2: Convert to fraction form
    275,040/579,946 = 579,946/x
  3. Step 3: Cross multiply
    275,040x = 579,946 × 579,946
  4. Step 4: Simplify right side
    275,040x = 336,337,362,916
  5. Step 5: Solve for x
    x = 336,337,362,916/275,040
  6. Step 6: Final answer
    x = 1,222,867.08

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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.