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Finding the Third Proportional to 233,250 and 483,096

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Solution

The third proportional to 233,250 and 483,096 is: 1,000,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,250 : 483,096 = 483,096 : x
  2. Step 2: Convert to fraction form
    233,250/483,096 = 483,096/x
  3. Step 3: Cross multiply
    233,250x = 483,096 × 483,096
  4. Step 4: Simplify right side
    233,250x = 233,381,745,216
  5. Step 5: Solve for x
    x = 233,381,745,216/233,250
  6. Step 6: Final answer
    x = 1,000,564.82

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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.