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Finding the Third Proportional to 235,455 and 483,313.50

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Solution

The third proportional to 235,455 and 483,313.50 is: 992,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,455 : 483,313.50 = 483,313.50 : x
  2. Step 2: Convert to fraction form
    235,455/483,313.50 = 483,313.50/x
  3. Step 3: Cross multiply
    235,455x = 483,313.50 × 483,313.50
  4. Step 4: Simplify right side
    235,455x = 233,591,939,282.25
  5. Step 5: Solve for x
    x = 233,591,939,282.25/235,455
  6. Step 6: Final answer
    x = 992,087.40

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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.