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Finding the Third Proportional to 282,885 and 610,058

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Solution

The third proportional to 282,885 and 610,058 is: 1,315,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,885 : 610,058 = 610,058 : x
  2. Step 2: Convert to fraction form
    282,885/610,058 = 610,058/x
  3. Step 3: Cross multiply
    282,885x = 610,058 × 610,058
  4. Step 4: Simplify right side
    282,885x = 372,170,763,364
  5. Step 5: Solve for x
    x = 372,170,763,364/282,885
  6. Step 6: Final answer
    x = 1,315,625.65

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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.