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Finding the Third Proportional to 235,449 and 483,301.50

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Solution

The third proportional to 235,449 and 483,301.50 is: 992,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,449 : 483,301.50 = 483,301.50 : x
  2. Step 2: Convert to fraction form
    235,449/483,301.50 = 483,301.50/x
  3. Step 3: Cross multiply
    235,449x = 483,301.50 × 483,301.50
  4. Step 4: Simplify right side
    235,449x = 233,580,339,902.25
  5. Step 5: Solve for x
    x = 233,580,339,902.25/235,449
  6. Step 6: Final answer
    x = 992,063.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.