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Finding the Third Proportional to 522,760 and 768,828

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Solution

The third proportional to 522,760 and 768,828 is: 1,130,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,760 : 768,828 = 768,828 : x
  2. Step 2: Convert to fraction form
    522,760/768,828 = 768,828/x
  3. Step 3: Cross multiply
    522,760x = 768,828 × 768,828
  4. Step 4: Simplify right side
    522,760x = 591,096,493,584
  5. Step 5: Solve for x
    x = 591,096,493,584/522,760
  6. Step 6: Final answer
    x = 1,130,722.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.