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Finding the Third Proportional to 233,590 and 483,772

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Solution

The third proportional to 233,590 and 483,772 is: 1,001,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,590 : 483,772 = 483,772 : x
  2. Step 2: Convert to fraction form
    233,590/483,772 = 483,772/x
  3. Step 3: Cross multiply
    233,590x = 483,772 × 483,772
  4. Step 4: Simplify right side
    233,590x = 234,035,347,984
  5. Step 5: Solve for x
    x = 234,035,347,984/233,590
  6. Step 6: Final answer
    x = 1,001,906.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.