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Finding the Third Proportional to 410,886 and 576,921

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Solution

The third proportional to 410,886 and 576,921 is: 810,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,886 : 576,921 = 576,921 : x
  2. Step 2: Convert to fraction form
    410,886/576,921 = 576,921/x
  3. Step 3: Cross multiply
    410,886x = 576,921 × 576,921
  4. Step 4: Simplify right side
    410,886x = 332,837,840,241
  5. Step 5: Solve for x
    x = 332,837,840,241/410,886
  6. Step 6: Final answer
    x = 810,049.11

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