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Finding the Third Proportional to 200,596.50 and 483,327

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Solution

The third proportional to 200,596.50 and 483,327 is: 1,164,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596.50 : 483,327 = 483,327 : x
  2. Step 2: Convert to fraction form
    200,596.50/483,327 = 483,327/x
  3. Step 3: Cross multiply
    200,596.50x = 483,327 × 483,327
  4. Step 4: Simplify right side
    200,596.50x = 233,604,988,929
  5. Step 5: Solve for x
    x = 233,604,988,929/200,596.50
  6. Step 6: Final answer
    x = 1,164,551.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.