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Finding the Third Proportional to 511,416 and 767,124

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Solution

The third proportional to 511,416 and 767,124 is: 1,150,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,416 : 767,124 = 767,124 : x
  2. Step 2: Convert to fraction form
    511,416/767,124 = 767,124/x
  3. Step 3: Cross multiply
    511,416x = 767,124 × 767,124
  4. Step 4: Simplify right side
    511,416x = 588,479,231,376
  5. Step 5: Solve for x
    x = 588,479,231,376/511,416
  6. Step 6: Final answer
    x = 1,150,686

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.