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Finding the Third Proportional to 233,560 and 483,728

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Solution

The third proportional to 233,560 and 483,728 is: 1,001,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,560 : 483,728 = 483,728 : x
  2. Step 2: Convert to fraction form
    233,560/483,728 = 483,728/x
  3. Step 3: Cross multiply
    233,560x = 483,728 × 483,728
  4. Step 4: Simplify right side
    233,560x = 233,992,777,984
  5. Step 5: Solve for x
    x = 233,992,777,984/233,560
  6. Step 6: Final answer
    x = 1,001,852.96

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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.