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Finding the Third Proportional to 235,473.75 and 483,340.50

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Solution

The third proportional to 235,473.75 and 483,340.50 is: 992,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,473.75 : 483,340.50 = 483,340.50 : x
  2. Step 2: Convert to fraction form
    235,473.75/483,340.50 = 483,340.50/x
  3. Step 3: Cross multiply
    235,473.75x = 483,340.50 × 483,340.50
  4. Step 4: Simplify right side
    235,473.75x = 233,618,038,940.25
  5. Step 5: Solve for x
    x = 233,618,038,940.25/235,473.75
  6. Step 6: Final answer
    x = 992,119.24

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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.