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Finding the Third Proportional to 519,744 and 777,492

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Solution

The third proportional to 519,744 and 777,492 is: 1,163,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,744 : 777,492 = 777,492 : x
  2. Step 2: Convert to fraction form
    519,744/777,492 = 777,492/x
  3. Step 3: Cross multiply
    519,744x = 777,492 × 777,492
  4. Step 4: Simplify right side
    519,744x = 604,493,810,064
  5. Step 5: Solve for x
    x = 604,493,810,064/519,744
  6. Step 6: Final answer
    x = 1,163,060.68

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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.