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Finding the Third Proportional to 519,782.50 and 777,559

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Solution

The third proportional to 519,782.50 and 777,559 is: 1,163,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,782.50 : 777,559 = 777,559 : x
  2. Step 2: Convert to fraction form
    519,782.50/777,559 = 777,559/x
  3. Step 3: Cross multiply
    519,782.50x = 777,559 × 777,559
  4. Step 4: Simplify right side
    519,782.50x = 604,597,998,481
  5. Step 5: Solve for x
    x = 604,597,998,481/519,782.50
  6. Step 6: Final answer
    x = 1,163,174.98

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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.