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Finding the Third Proportional to 537,524 and 777,012

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Solution

The third proportional to 537,524 and 777,012 is: 1,123,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,524 : 777,012 = 777,012 : x
  2. Step 2: Convert to fraction form
    537,524/777,012 = 777,012/x
  3. Step 3: Cross multiply
    537,524x = 777,012 × 777,012
  4. Step 4: Simplify right side
    537,524x = 603,747,648,144
  5. Step 5: Solve for x
    x = 603,747,648,144/537,524
  6. Step 6: Final answer
    x = 1,123,201.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.