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Finding the Third Proportional to 235,471.50 and 483,336

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Solution

The third proportional to 235,471.50 and 483,336 is: 992,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,471.50 : 483,336 = 483,336 : x
  2. Step 2: Convert to fraction form
    235,471.50/483,336 = 483,336/x
  3. Step 3: Cross multiply
    235,471.50x = 483,336 × 483,336
  4. Step 4: Simplify right side
    235,471.50x = 233,613,688,896
  5. Step 5: Solve for x
    x = 233,613,688,896/235,471.50
  6. Step 6: Final answer
    x = 992,110.25

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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.