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Finding the Third Proportional to 519,470 and 777,134

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Solution

The third proportional to 519,470 and 777,134 is: 1,162,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,470 : 777,134 = 777,134 : x
  2. Step 2: Convert to fraction form
    519,470/777,134 = 777,134/x
  3. Step 3: Cross multiply
    519,470x = 777,134 × 777,134
  4. Step 4: Simplify right side
    519,470x = 603,937,253,956
  5. Step 5: Solve for x
    x = 603,937,253,956/519,470
  6. Step 6: Final answer
    x = 1,162,602.76

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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.