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Finding the Third Proportional to 501,096 and 775,560

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Solution

The third proportional to 501,096 and 775,560 is: 1,200,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,096 : 775,560 = 775,560 : x
  2. Step 2: Convert to fraction form
    501,096/775,560 = 775,560/x
  3. Step 3: Cross multiply
    501,096x = 775,560 × 775,560
  4. Step 4: Simplify right side
    501,096x = 601,493,313,600
  5. Step 5: Solve for x
    x = 601,493,313,600/501,096
  6. Step 6: Final answer
    x = 1,200,355.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.