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Finding the Third Proportional to 523,852 and 775,957

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Solution

The third proportional to 523,852 and 775,957 is: 1,149,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,852 : 775,957 = 775,957 : x
  2. Step 2: Convert to fraction form
    523,852/775,957 = 775,957/x
  3. Step 3: Cross multiply
    523,852x = 775,957 × 775,957
  4. Step 4: Simplify right side
    523,852x = 602,109,265,849
  5. Step 5: Solve for x
    x = 602,109,265,849/523,852
  6. Step 6: Final answer
    x = 1,149,388.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.