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Finding the Third Proportional to 525,305 and 764,992

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Solution

The third proportional to 525,305 and 764,992 is: 1,114,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,305 : 764,992 = 764,992 : x
  2. Step 2: Convert to fraction form
    525,305/764,992 = 764,992/x
  3. Step 3: Cross multiply
    525,305x = 764,992 × 764,992
  4. Step 4: Simplify right side
    525,305x = 585,212,760,064
  5. Step 5: Solve for x
    x = 585,212,760,064/525,305
  6. Step 6: Final answer
    x = 1,114,043.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.