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Finding the Third Proportional to 519,483 and 777,133

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Solution

The third proportional to 519,483 and 777,133 is: 1,162,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,483 : 777,133 = 777,133 : x
  2. Step 2: Convert to fraction form
    519,483/777,133 = 777,133/x
  3. Step 3: Cross multiply
    519,483x = 777,133 × 777,133
  4. Step 4: Simplify right side
    519,483x = 603,935,699,689
  5. Step 5: Solve for x
    x = 603,935,699,689/519,483
  6. Step 6: Final answer
    x = 1,162,570.67

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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.