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Finding the Third Proportional to 520,868.50 and 782,688.75

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Solution

The third proportional to 520,868.50 and 782,688.75 is: 1,176,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,868.50 : 782,688.75 = 782,688.75 : x
  2. Step 2: Convert to fraction form
    520,868.50/782,688.75 = 782,688.75/x
  3. Step 3: Cross multiply
    520,868.50x = 782,688.75 × 782,688.75
  4. Step 4: Simplify right side
    520,868.50x = 612,601,679,376.56
  5. Step 5: Solve for x
    x = 612,601,679,376.56/520,868.50
  6. Step 6: Final answer
    x = 1,176,115.81

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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.