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Finding the Third Proportional to 511,164 and 773,910

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Solution

The third proportional to 511,164 and 773,910 is: 1,171,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,164 : 773,910 = 773,910 : x
  2. Step 2: Convert to fraction form
    511,164/773,910 = 773,910/x
  3. Step 3: Cross multiply
    511,164x = 773,910 × 773,910
  4. Step 4: Simplify right side
    511,164x = 598,936,688,100
  5. Step 5: Solve for x
    x = 598,936,688,100/511,164
  6. Step 6: Final answer
    x = 1,171,711.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.