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Finding the Third Proportional to 410,890 and 576,927

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Solution

The third proportional to 410,890 and 576,927 is: 810,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,890 : 576,927 = 576,927 : x
  2. Step 2: Convert to fraction form
    410,890/576,927 = 576,927/x
  3. Step 3: Cross multiply
    410,890x = 576,927 × 576,927
  4. Step 4: Simplify right side
    410,890x = 332,844,763,329
  5. Step 5: Solve for x
    x = 332,844,763,329/410,890
  6. Step 6: Final answer
    x = 810,058.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.