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Finding the Third Proportional to 519,760 and 777,516

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Solution

The third proportional to 519,760 and 777,516 is: 1,163,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,760 : 777,516 = 777,516 : x
  2. Step 2: Convert to fraction form
    519,760/777,516 = 777,516/x
  3. Step 3: Cross multiply
    519,760x = 777,516 × 777,516
  4. Step 4: Simplify right side
    519,760x = 604,531,130,256
  5. Step 5: Solve for x
    x = 604,531,130,256/519,760
  6. Step 6: Final answer
    x = 1,163,096.68

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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.