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Finding the Third Proportional to 410,882 and 576,915

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Solution

The third proportional to 410,882 and 576,915 is: 810,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,882 : 576,915 = 576,915 : x
  2. Step 2: Convert to fraction form
    410,882/576,915 = 576,915/x
  3. Step 3: Cross multiply
    410,882x = 576,915 × 576,915
  4. Step 4: Simplify right side
    410,882x = 332,830,917,225
  5. Step 5: Solve for x
    x = 332,830,917,225/410,882
  6. Step 6: Final answer
    x = 810,040.15

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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.