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Finding the Third Proportional to 520,865.16 and 782,684.44

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Solution

The third proportional to 520,865.16 and 782,684.44 is: 1,176,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,865.16 : 782,684.44 = 782,684.44 : x
  2. Step 2: Convert to fraction form
    520,865.16/782,684.44 = 782,684.44/x
  3. Step 3: Cross multiply
    520,865.16x = 782,684.44 × 782,684.44
  4. Step 4: Simplify right side
    520,865.16x = 612,594,928,704.69
  5. Step 5: Solve for x
    x = 612,594,928,704.69/520,865.16
  6. Step 6: Final answer
    x = 1,176,110.40

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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.