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Finding the Third Proportional to 410,045 and 577,181

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Solution

The third proportional to 410,045 and 577,181 is: 812,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,045 : 577,181 = 577,181 : x
  2. Step 2: Convert to fraction form
    410,045/577,181 = 577,181/x
  3. Step 3: Cross multiply
    410,045x = 577,181 × 577,181
  4. Step 4: Simplify right side
    410,045x = 333,137,906,761
  5. Step 5: Solve for x
    x = 333,137,906,761/410,045
  6. Step 6: Final answer
    x = 812,442.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.